On grand Lorentz spaces and the maximal operator

DOI10.1515/gmj-2012-0010zbMath1251.46011OpenAlexW2332407008MaRDI QIDQ2897178

Santosh Kumari, Pankaj Jain

Publication date: 9 July 2012

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

Full work available at URL: https://doi.org/10.1515/gmj-2012-0010

zbMATH Keywords

maximal operatorLorentz spaceaveraging operatorgrand Lebesgue space\(A_p\)-class\(B_p\)-classgrand Lorentz space

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) Maximal functions, Littlewood-Paley theory (42B25)

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Hardy type operators on grand Lebesgue spaces for non-increasing functions ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Integral operators on fully measurable weighted grand Lebesgue spaces ⋮ Grand Lorentz sequence space and its multiplication operator ⋮ Hardy-type integral inequalities for quasi-monotone functions ⋮ Generalized grand Lorentz martingale spaces ⋮ Connection between weighted tail, Orlicz, Grand Lorentz and Grand Lebesgue norms ⋮ Hardy inequality in variable grand Lebesgue spaces for nonincreasing functions ⋮ Unnamed Item ⋮ Bochner-Riesz operators in grand Lebesgue spaces ⋮ Extrapolation in weighted classical and grand Lorentz spaces. Application to the boundedness of integral operators

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