Two-weight norm estimates for maximal and Calderón–Zygmund operators in variable exponent Lebesgue spaces

DOI10.1515/GMJ-2013-0028zbMath1286.42019OpenAlexW2332031668MaRDI QIDQ2854194

Muhammad Sarwar, Vakhtang Kokilashvili, Alexander Meskhi

Publication date: 17 October 2013

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

Full work available at URL: https://doi.org/10.1515/gmj-2013-0028

zbMATH Keywords

maximal operatorsingular integralsspaces of homogeneous typevariable exponent Lebesgue spacestwo-weight norm inequality

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

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The boundedness of fractional maximal operators on variable Lebesgue spaces over spaces of homogeneous type

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