On compactness of operators in variable exponent Lebesgue spaces, Operator Theory: Advances and Applications, Vol. 202, 497–507, Birkhauser, 2009 Download:     PDF file [223H_Compactness.pdf]

On Some Classical Operators of Variable Order in Variable Exponent Analysis, Operator Theory: Advances and Applications", Vol. 193, 281-301, Birkhauser, 2009. Download:     PDF file [221H_Mazya_Proc.pdf]

Weighted estimates of generalized potentials in variable exponent Lebesgue spaces on homogeneous spaces (with M. Hajiboyev), "Operator Theory: Advances and Applications", Eds. R. Duduchava, I. Gohberg, S. Grudsky, V. Rabinovich 2009, vol. 210, 107–122, 2010. Download:     PDF file [220H_Generalized_potentials_weighted.pdf]

Hardy type inequality in variable Lebesgue spaces (with H.Rafeiro), Annales Academiae Scientiarum Fennicae, 34(2009), 279-289 Download:     PDF file [219H_Hardy.pdf]

Spaces BMOp(.) of variable order p(z) (with A.Karapetyants), Georgian Math. J., 2010, Vol. 17, issue 3, 529–542. Download:     PDF file [218H_BMO-p_z.pdf]

Fractional and hypersingular operators in variable exponent spaces on metric measure spaces (with A.Almeida), Meditter. J. Math., vol. 6, 2009, 215-232. Download:     PDF file [217H_Hypersingular_Meditterr.pdf]

Embeddings of variable Hajlasz-Sobolev spaces into Holder spaces of variable order (with A.Almeida), J. Math. Anal. Appl., 353, 2009, 489-496. Download:     PDF file [216H_Almeida-Samko_JMAA.pdf]

Generalized potential on variable exponent spaces on metric measure spaces (with M.Hajiboyev), Math. Nachr., 2011, 284, No. 1, 53 – 66. Download:     PDF file [215H_Generalized_potentials_MN.pdf]

Weighted Boundedness of the Maximal, Singular and Potential Operators in Variable Exponent Spaces (with Kokilashvili), In: "Analytic Methods of Analysis and Differential Equations, Eds: A.A.Kilbas and S.V.Rogosin, Cambridge Scientific Publishers, 139-164, 2008. Download:     PDF file [214H_AMADE06.pdf]

Dominated Compactness Theorem in Banach Function Spaces and its Applications (with H.Rafeiro). Compl. Anal. Oper. Theory, Compl. Anal. Oper. Theory, 2008, Vol. 2, No 4, 669-681. Download:     PDF file [212H_Dominated_CAOT_doi.pdf]

Operators of harmonic analysis in weighted spaces with non-standard growth (with V.Kokilashvili), JMAA, 352 (2009), 15–34. Download:     PDF file [211H_Off_diagonal_JMAA.pdf]

Some classical operators in variable exponent Lorentz spaces (with L.Ephremidze and V.Kokilashvili), Fract. Calc. Appl. Anal., 2008, vol. 11, N4. Download:     PDF file [210H_Lorentz_FCAA.pdf]

Approximation of the inversion of the Riesz potential operator in Lp(.)-spaces (with H.Rafeiro), Fract.. Calc. Appl. Anal., 2008, vol. 11, N3 Download:     PDF file [209H_Approximation_Riesz_FCAA.pdf]

Maximal and potential operators in variable exponent Morrey spaces (with A.Almeida and J.Hasanov), Georgian Math. J., 2008, vol. 15, N2, 195-208 Download:     PDF file [208H_Morrey_spaces_GMJ.pdf]

Vekua's generalized singular integral on Carleson curves in weighted variable Lebesgue spaces (with V.Kokilashvili), In "Operator Theory: Advances and Applications", vol 181, 2008, 283-293 Download:     PDF file [207H_Vekua.pdf]

Characterization of the range of one-dimensional fractional integration in the space with variable exponent (with H.Rafeiro), In "Operator Theory: Advances and Applications", vol 181, 2008, 393-416 Download:     PDF file [206H_Characterization_WOAT.pdf]

Singular operators and Fourier multipliers in weighted Lebesgue spaces with variable exponents with V.Kokilashvili), Vestnik St. Petersburg Univ. Mathematics, 2008, Vol. 41, No. 2, 134-144; transl. from "Vestnik Sankt-Peterb. Univ.. Ser. 1, 2008, No. 2, pp. 56-68. Download:     PDF file [205H_StPetersburg_Mikhlin_issue.pdf]

The maximal operator in weighted variable Lebesgue spaces on metric spaces (with V.Kokilashvili), Georg. Math. J. ,2008, 15, no 4, 683-712 Download:     PDF file [204H_Maximal_metric_spaces_GMJ.pdf]

Boundedness and Fredholmness of pseudodifferential operators in variable exponent spaces (with V.Rabinovich), Integr. Equat. Oper. Theory, Vol. 60, No 4, 507-537, 2008 Download:     PDF file [202H_Rabinovich_Samko_PDO_IEOT.pdf]

Boundedness of maximal operators and potential operators on Carleson curves in Lebesgue spaces with variable exponent (with V.Kokilashvili), Acta Math Sinica, Vol. 24, no 11, 2008, 1775-1800 Download:     PDF file [201H_Boundedness_of_maximal_Acta_Math_Sinica.pdf]

A general approach to weighted boundedness of operators of harmonic analysis in variable exponent Lebesgue spaces (with V. Kokilashvili), Proc. A.Razmadze Math. Inst., 145(2007), 109-116 Download:     PDF file [200H_Kokil_Samko_off-diagonal_short.pdf]

On a class of fractional type integral equations in variable exponent spaces (with H.Rafeiro), Fract. Calc. and Appl. Anal., 2007, vol. 10, no 4, 399-421. Download:     PDF file [199H_Rafeiro_Samko_FCAA.pdf]

Essential Spectra of Pseudodifferential Operators in Sobolev Spaces with Variable Smoothness and Variable Lebesgue Indices (with V.S.Rabinovich), Doklady Mathematics, 2007, Vol. 76, No. 3, 835--838. (Doklady Akademii Nauk, 2007, Vol. 417, No. 2, pp. 167--170). Download:     PDF file [198H_Rabin_Samko_DAN.pdf]

The Maximal Operator in Weighted Variable Spaces Lp(.) (with V.Kokilashvili and N.Samko), J. Function Spaces Appl., 2007, vol. 5, no 3, 299-317. Download:     PDF file [197H_KokilSamko_Samko_Max_Carles_JFSA.pdf]

Weighted Sobolev theorem in Lebesgue spaces with variable exponent (with N.Samko and B.Vakulov). J. Math. Anal. and Applic., 2007, vol. 335, No 1, 560-583 Download:     PDF file [195H_Samko_Samko_Vakulov_JMAA.pdf]     PDF file [Corrigendum_JMAA_2007.pdf]

The maximal operator in weighted variable spaces on metric measure spaces (with V.Kokilashvili), Proc. A.Razmadze Math. Inst., 2007, vol. 144, 137-144. Download:     PDF file [193H_Kokil_Samko_Metric_short_version.pdf]

Hardy inequality in variable exponent Lebesgue spaces (with L.Diening). Frac. Calc. Appl. Anal., 2007, vol. 10, No 1, 1-18. Download:     PDF file [191H_Diening_Samko_FCAA.pdf]

Singular operators in variable spaces Lp(.) (Γ,ρ) with oscillating weights (with V.Kokilashvili and N.Samko), Math. Nachrichten, 2007, vol 280, N 9-10, 1145-1156. Download:     PDF file [190H_Kokil_Samko_Samko_Singular_MN.pdf]

Pointwise inequalities in variable Sobolev spaces and applications (with Alexandre Almeida). Zeit. Anal. Und ihre Anwend, 2007, vol. 26, no 2, 179-193. Download:     PDF file [189H_Almeida_Samko_Pointwise_ZAA.pdf]

Boundedness in Lebesgue spaces with variable exponent of the Cauchy singular operators on Carleson curves (with V.Kokilasvili and V.Paatashvili), "Operator Theory: Advances and Applications", v.170 (dedicated to 70th birthday of Prof. I.B.Simonenko). Editors Ya. Erusalimsky, I.Gohberg, S.Grudsky, V.Rabinovich, N.Vasilevski, Birkhauser, 2006, 167-186. Download:     PDF file [186H_Simonenko_Operator_Theory.pdf]

Boundedness in Lebesgue spaces with variable exponent of maximal, singular and potential operators (with V.Kokilashvili). "Izvestija VUZov. Severo-Kavkazskii region. Estestvennie nauki. 2005, Special issue "Pseudodifferential equations and some problems of mathematical physics", dedicated to 70th birthday of Prof. I.B.Simonenko, p. 152-158. Download:     PDF file [182H_Kokil_Samko_Simonenko_Rostov.pdf]

Weighted boundedness in Lebesgue spaces with variable exponents of classical operators on Carleson curves (with V. Kokilashvili), Proc. A. Razmadze Math. Inst., 2005, v. 138, 106-110. Download:     PDF file [181H_Kokil_Samko_Weighted_boundedness.pdf]

On multidimensional analogue of Marchaud formula for fractional Riesz-type derivatives in domains in Rn (with H.Rafeiro). Fract. Calc. Appl. Anal. 2005, vol. 8, N4, 393-401. Download:     PDF file [175H_Rafeiro_Samko.pdf]

Weighted Sobolev theorem with variable exponent for spatial and spherical potential operators, II (with E.Shargorodsky and B.Vakulov). J. Math, Anal. Appl. 2006 vol. 325, No 1, 745--751. Download:     PDF file [186H_Samko_Shargorodsky_Vakulov_22_12_05_JMAA.pdf]     Post Script file [186H_Samko_Shargorodsky_Vakulov_22_12_05_JMAA.ps]

The maximal operator in variable spaces Lp(.)(&Omega, ρ) with oscillating weights (with V.Kokilashvili and N.Samko). Georgian Math. J., 2006, vol. 13, No 1. Download:     PDF file [184H_Oscillating_weights_final_09_11_05.pdf]     Post Script file [184H_Oscillating_weights_final_09_11_05.ps]

Characterization of Riesz and Bessel potentials on variable Lebesgue spaces (with Alexandre Almeida), J. Function Spaces and Applic., 2006, vol. 4, no 2. Download:     PDF file [183H_Almeida-Samko_Riesz-Bessel_JFSA.pdf]     Post Script file [183H_Almeida-Samko_Riesz-Bessel_JFSA.ps]

Local Fredholm spectrums and Fredholm properties of singular integral operators on Carleson curves acting on weighted Holder spaces (with V.Rabinovich and N.Samko), Integr. Eq. Oper. Theory, 2006 vol. 56, no 2, 257-283. Download:     PDF file [182H_pdo_IEOT.pdf]     Post Script file [182H_pdo_IEOT.ps]

Best constant in the weighted Hardy inequality; the spatial and spherical versions, Fract. Calc. Appl. Anal., 2005, vol. 8, No 1, pp. 39-52. Download:     PDF file [178H_Best_Const_FCAA.pdf]     Post Script file [178H_Best_Const_FCAA.ps]

Weighted Sobolev theorem for spatial and spherical potentials in Lebesgue spaces with variable exponent (with B.Vakulov), Dokl. Ross. Akad. Nauk, 2005, vol. 403, N 1, 1-4. Download:     PDF file [176H_Samko_Vakulov_Russian_DAN.pdf]     Post Script file [176H_Samko_Vakulov_Russian_DAN.ps]

Sobolev theorem for potentials on Carleson curves in variable Lebesgue spaces (with V. Kokilashvili), Mem. Differential Equations Math. Phys., Georg. Acad. of Sci., A. Razmadze Math. Institute, 2004, vol. 33, 157--158. Download:     PDF file [174H_Kokil_Samko_Sobole_Memoirs.pdf]     Post Script file [174H_Kokil_Samko_Sobole_Memoirs.ps]

On a progress in the theory of Lebesgue spaces with variable exponent: maximal and singular operators, Integr. Transf. and Spec. Funct., 2005, vol. 16, No 5-6, 461-482. Download:     PDF file [176_Survey_ITSF_2005.pdf]     Post Script file [176_Survey_ITSF_2005.ps]

Boundary value problems for analytic functions in the class of Cauchy type integrals with density in Lp(.) (Γ) (with V. Kokilashvili and V. Paatashvili), "Bound. Value Probl.", Vol. 2005, N 1-2, 43-71. Download:     PDF file [177_Kokil_Paat_Samko_BVP.pdf]     Post Script file [177_Kokil_Paat_Samko_BVP.ps]

Weighted Sobolev theorem with variable exponent (with B.Vakulov), J. Math, Anal. Appl., 2005, vol. 310, 229-246. Download:     PDF file [178_Samko-Vakulov_JMAA.pdf]     Post Script file [178_Samko-Vakulov_JMAA.ps]

V.Kokilashvili and S.Samko, Maximal and Fractional Operators in Weighted Lp(x) - Spaces, Revista Matematica Iberoamericana, 2004, vol 20, No 2, 493-515. Download:     PDF file [173_Kokil_Samko_RMI_2004.pdf]     Post Script file [173_Kokil_Samko_RMI_2004.ps]

S.Samko, Hardy-Littlewood-Stein-Weiss inequality in the Lebesgue spaces with variable exponent. Fract. Calc. and Applied Anal., 2003, vol. 6, no 4, 421-440. Download:     PDF file [172_Variable_Stein_Weiss_FCAA_2003.pdf]     Post Script file [172_Variable_Stein_Weiss_FCAA_2003.ps]

S.Samko, Hardy inequality in the generalized Lebesgue spaces. Fract. Calc. and Applied Anal., 2003, vol. 6, no 4, 355-362. Download:     PDF file [171_Hardy_p_x__FCAA_2003.pdf]     Post Script file [171_Hardy_p_x__FCAA_2003.ps]

S.Samko and Rogério Cardoso, Sonine integral equations of the first kind of Lp(0,b). Fract. Calc. and Applied Anal., 2003, vol. 6, no 3, 235-258. Download:     PDF file [170_Sonine_finite_FCAA_2003.pdf]     Post Script file [170_Sonine_finite_FCAA_2003.ps]

S.Samko and Rogério Cardoso, Integral equations of the first kind of Sonine type. Intern. J. Math. and Math. Sci, 2003:57, 3609-3632. Download:     PDF file [169_Sonine_IJMMS_2003.pdf]     Post Script file [169_Sonine_IJMMS_2003.ps]

V.Kokilashvili and S.Samko, On Sobolev Theorem for Riesz-Type Potentials in Lebesgue Spaces with Variable Exponents, Zeit. Anal. Anwend., 2003, v. 22, no 4, 899-910. Download:     PDF file [168_Kokil_Samko_4rh_ZAA_2003.pdf]     Post Script file [168_Kokil_Samko_4rh_ZAA_2003.ps]

V.Kokilashvili and S.Samko, Singular integrals and potentials in some Banach spaces with variable exponent, J. of Funct. Spaces and Appl., 2003, v. 1, no 1, 45-59. Download:     PDF file [167H_Kokil-Samko_Singular_integrals_in_some_JFSA.pdf]     Post Script file [167H_Kokil-Samko_Singular_integrals_in_some_JFSA.ps]

V.Kokilashvili, A. Meskhi and S.Samko, On the inversion and characterization of the Riesz potentials in the weighted Lebesgue spaces, Memoirs on Diff. Equat. and Math. Physics, Razmadze Math. Inst., Tbilisi, 2003, vol. 29, 99 - 106. Download:     PDF file [166_Kokil_Meskhi_Samko_2003.pdf]     Post Script file [166_Kokil_Meskhi_Samko_2003.ps]

V.Kokilashvili and S.Samko, Singular Integral Equations in the Lebesgue Spaces with Variable Exponent, Proc. of Razmadze Math.Institute, 2003, vol.131, 61-78. Download:     PDF file [165_Kokil_Samko_5rh_2003.pdf]     Post Script file [165_Kokil_Samko_5rh_2003.ps]

V.Kokilashvili and S.Samko, Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent, Georgian Math. J., 2003, vol. 10, No 1, 145-156. Download:     PDF file [164_Kokil_Samko_3rd_2003.pdf]     Post Script file [164_Kokil_Samko_3rd_2003.ps]

S.Samko, Fractional Weyl-Riesz Integro-differentiation of periodic functions of two variables via the periodization of the Riesz kernel, Applicable Analysis, 2003, v. 82, N 3, 269-299. Download:     PDF file [163_Periodization_2003.pdf]     Post Script file [163_Periodization_2003.ps]

S.Samko and B.G.Vakulov, On equivalent norms in fractional order function spaces of continuous functions on the unit sphere. Fract. Calc. and Applied Anal., 2000, vol. 3, no 4, 401-433. Download:     PDF file [147H_Samko-Vakulov_FCAA.pdf]     Post Script file [147H_Samko-Vakulov_FCAA.ps]

Vladimir A. Nogin and Stefan G. Samko, Inversion and characterization of Riesz potentials in weighted spaces via approximative inverse operators, Proc. A Razmadze Math Institute Tbilisi, 2002, vol 129, 145-14.. Download:     PDF file [159H_Nogin-Samko_Inversion_in_weighted_Tbilis.pdf]     Post Script file [159H_Nogin-Samko_Inversion_in_weighted_Tbilis.ps]

Nikolai K. Karapetiants, Anatoly A. Kilbas, Megumi Saigo and Stefan G. Samko, Upper and lower bounds for solutions of nonlinear volterra convolution integral equations with power nonlinearity, J. of Integr. Equat. and Appl. 2001, Vol. 12, No. 4, 421-448 MR 2002a:45002. Download:     PDF file [Non-linear_Volterra.pdf]     Post Script file [Non-linear_Volterra.ps]

Kenneth S. Miller and Stefan G. Samko, Completely monotonic functions. Integr. Transf. and Spec. Funct. 2001, Vol. 12, No 4, 389-402. Download:     PDF file [Completely_monotonic.pdf]     Post Script file [Completely_monotonic.ps]

N. K. Karapetiants and S. G. Samko, Singular integral equations on the real line with homogeneous kernels and the inversion shift, Journal of Natural Geometry 2001, vol. 19, 1-26 MR 2001j:47055. Download:     PDF file [150H_KarSam_Homog_inversion_Integral_Geometry.pdf]     Post Script file [150H_KarSam_Homog_inversion_Integral_Geometry.ps]

Stefan G. Samko, On some index relations for Bessel functions, Integr. Transf. and Special Funct., 2001, vol. 11, No 4, 397-40. Download:     PDF file [Index_relations.pdf]     Post Script file [Index_relations.ps]

N. K. Karapetiants and S. G. Samko, On multi-dimentional integral equations of convolution type with shift, Integr. Equat. Oper. Theory Vol. 39, 2001, 305-328 MR 2002b:45004. Download:     PDF file [153H_KarSam_Multidim_convolutions_with_shift.pdf]     Post Script file [153H_KarSam_Multidim_convolutions_with_shift.ps]

Stefan G. Samko. Denseness of C0∞ (RN) in the generalized Sobolev spaces WM,P(X)(RN) , Intern. Soc. for Analysis, Applic. and Comput., 2000, v. 5, "Direct and Inverse Problems of Math. Physics", Ed. by R.Gilbert, J. Kajiwara and Yongzhi S. Xu, Kluwer Acad. Publ., 333-342. Download:     PDF file [denseness.pdf]     Post Script file [denseness.ps]

Anna V. Abramyan, Vladimir A. Nogin and Stefan G. Samko, Fractional powers of the operator -|x|2 Δ in Lp-spaces, Proc. Razmadze Math. Institute, vol. 124, 2000, 1-22, MR 2002g:47095. Download:     PDF file [Abramyan_Tbilisi.pdf]     Post Script file [Abramyan_Tbilisi.ps]

Stefan Samko, On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators, Proc. IWOTA 2000, Portugal. In: "Operator Theory: Advances and Applications", v. 142, Birkhäuser, 2003, 357-368. Download:     PDF file [ssamko-IWOTA.pdf]     Post Script file [ssamko-IWOTA.ps]

N. K. Karapetiants and S. G. Samko, Singular integral equations on the real line with a fractional-linear Carleman shift, Proc. Razmadze Math. Institute vol. 124, 2000, 73-106 MR 2002e:45007. Download:     PDF file [Fractional-linear_shift_Georgia.pdf]     Post Script file [Fractional-linear_shift_Georgia.ps]

Stefan G. Samko, Approximative approach to fractional powers of operators, Proc. Second ISAAC Congress Kluwer Academic Publishers, 2000 Volume 2, Ch. 131, pp. 1163-1170. Download:     PDF file [Fractional_powers_Fukuoka.pdf]     Post Script file [Fractional_powers_Fukuoka.ps]

Stefan Samko, Fractional powers of operators via hypersingular integrals, "Progress in Nonlinear Diff. Eq. and Their Applic." vol. 42, 259-272 Birkhäuser, 2000. Download:     PDF file [Fractional_powers_SOTA.pdf]     Post Script file [Fractional_powers_SOTA.ps]

N. K. Karapetiants and S. G. Samko, On Fredholm Properties of a Class of Hankel Operators, Math. Nachr., 2000, vol. 217, 75-103. Download:     PDF file [Hankel_Math_Nachr.pdf]     Post Script file [Hankel_Math_Nachr.ps]

V. A. Nogin and Stefan G. Samko, Some applications of potentials and approximative inverse operators in multidimensional fractional calculus, Fract. Calc. and Applied Anal., (1999), vol. 2, no 2, 205-228. Download:     PDF file [nogin_survey_99.pdf]     Post Script file [nogin_survey_99.ps]

Nikolai K. Karapetiants and Stefan G. Samko, On a certain approach to the investigation of equations with involutive operators, Internat. J. of Math. & Statist. Sci., 1999 vol. 8, No. 2, 135-162, MR 2000j:47022. Download:     PDF file [Abstract_Scheme_JMSS.pdf]     Post Script file [Abstract_Scheme_JMSS.ps]

N. K. Karapetiants and S. G. Samko, Multi-dimensional integral operators with homogeneous kernels, Fract. Calc. and Applied Anal. 1999, vol. 2, no 1, 67-96 MR 2000a:47102. Download:     PDF file [Homogen_FCAA.pdf]     Post Script file [Homogen_FCAA.ps]

S. Samko, On Local Summability of Riesz Potentials in the case ℜα > 0, Analysis Mathematica 25(1999), 205-210. Download:     PDF file [RIESZ_Anal_Math.pdf]     Post Script file [RIESZ_Anal_Math.ps]

Stefan G. Samko, Convolution and potential type operators in Lp(x) Rn, Integr. Transform. and Special Funct. 1998, v.7, No 3-4, 261-284. Download:     PDF file [Convolution_and_potential_in_Px_ITSF_2_.pdf]     Post Script file [Convolution_and_potential_in_Px_ITSF_2_.ps]

Stefan G. Samko, Convolution type operators in Lp(x). Integr. Transform. and Special Funct., 1998, v. 7, no 1-2, 123-144. Download:     PDF file [Convolution_in_Px_ITSF_1_.pdf]     Post Script file [Convolution_in_Px_ITSF_1_.ps]

Stefan G. Samko, A new approach to the inversion of the Riesz potential operator, Fract. Calc. and Applied Anal. 1998, vol. 1, no 3, 225-245. Download:     PDF file [New_Approach_FCAA.pdf]     Post Script file [New_Approach_FCAA.ps]

R. Gorenflo and S. Samko, On the dependence of asymptotics of s-numbers of fractional integration operators on weight functions, Integr. Transform. and Special Funct. 1997, v.5, no 3-4, 191-212. Download:     PDF file [singular_values.pdf]     Post Script file [singular_values.ps]

Some remarks to the author's paper "A new approach to the inversion of the Riesz potential operator", Fract. Calc. and App«. Anal., (1999), vol. 2, no 1, 63-66 Download:     PDF file [133H_Remarks_FCAA.pdf]     Post Script file [133H_Remarks_FCAA.ps]

118_with_Love_Ross Download:     PDF file [118_with_Love_Ross.pdf]

45H_Spaces_Riesz_potentials_1976 Download:     PDF file [45H_Spaces_Riesz_potentials_1976.pdf]

63H_generalized_Riesz_1980.pdf Download:     PDF file [63H_generalized_Riesz_1980.pdf]