On the regularization of a multidimensional integral equation in Lebesgue spaces with variable exponent

DOI10.1134/S0001434613030279zbMath1278.45003OpenAlexW2056845588MaRDI QIDQ351660

Stefan G. Samko, Salaudin Umarkhadzhiev

Publication date: 8 July 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613030279

zbMATH Keywords

regularizationHölder inequalityhypersingular operatorHardy-Stein-Weiss inequalityLebesque space with variable exponentmultidimensional integral equation of the first (second) kindpotential-type kernel

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items

Professor Stefan G. Samko research: a decade retrospective, On Hölder's inequality in Lebesgue spaces with variable order of summability

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