A trace inequality for generalized potentials in Lebesgue spaces with variable exponent

DOI10.1155/2004/502312zbMath1060.31005OpenAlexW2063368864MaRDI QIDQ1885161

Alexander Meskhi, Vakhtang Kokilashvili, David E. Edmunds

Publication date: 28 October 2004

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2004/502312

zbMATH Keywords

spaces of homogeneous typetrace inequalityRiesz potentialsgeneralized Lebesgue spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Inequalities for sums, series and integrals (26D15) Potentials and capacities on other spaces (31C15) Kernel operators (47B34)

Related Items (5)

Potential operators in variable exponent Lebesgue spaces: two-weight estimates ⋮ Boundary trace embedding theorems for variable exponent Sobolev spaces ⋮ Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent ⋮ Two-weight inequalities for fractional maximal functions and singular integrals in \(L^{p(\cdot)}\) spaces ⋮ The maximal operator in Lebesgue spaces with variable exponent near 1

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