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Journal of Inequalities and Applications
Erschienen in: Journal of Inequalities and Applications 1/2010

Open Access 01.12.2010 | Research Article

Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates

verfasst von: Vakhtang Kokilashvili, Alexander Meskhi, Muhammad Sarwar

Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2010

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Abstract

Two-weighted norm estimates with general weights for Hardy-type transforms and potentials in variable exponent Lebesgue spaces defined on quasimetric measure spaces https://static-content.springer.com/image/art%3A10.1155%2F2010%2F329571/MediaObjects/13660_2010_Article_2124_IEq1_HTML.gif are established. In particular, we derive integral-type easily verifiable sufficient conditions governing two-weight inequalities for these operators. If exponents of Lebesgue spaces are constants, then most of the derived conditions are simultaneously necessary and sufficient for corresponding inequalities. Appropriate examples of weights are also given.
Vorheriger Artikel A Mathematical Revisit of Modeling the Majority Voting on Fixed-Income Quadratic Taxations
Nächster Artikel Some Nonlinear Weakly Singular Integral Inequalities with Two Variables and Applications

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Metadaten
Titel
Potential Operators in Variable Exponent Lebesgue Spaces: Two-Weight Estimates
verfasst von
Vakhtang Kokilashvili
Alexander Meskhi
Muhammad Sarwar
Publikationsdatum
01.12.2010
Verlag
Springer International Publishing
Erschienen in
Journal of Inequalities and Applications / Ausgabe 1/2010
Elektronische ISSN: 1029-242X
DOI
https://doi.org/10.1155/2010/329571

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