A weighted Sobolev theorem for spatial and spherical potentials in Lebesgue spaces with variable exponents

zbMath1124.31003MaRDI QIDQ2455202

B. G. Vakulov, Stefan G. Samko

Publication date: 22 October 2007

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

Riesz potentialHardy-Littlewood-Sobolev theoremLebesgue spaces with variable exponentsgeneralized weighted Lebesgue spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral operators (47G10) Inequalities for sums, series and integrals (26D15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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The maximal operator on weighted variable Lebesgue spaces

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