Riesz type potential operators in generalized grand Morrey spaces

DOI10.1515/gmj-2013-0009zbMath1280.46017arXiv1204.2208OpenAlexW2963406499MaRDI QIDQ4915425

Humberto Rafeiro, Vakhtang Kokilashvili, Alexander Meskhi

Publication date: 10 April 2013

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

Full work available at URL: https://arxiv.org/abs/1204.2208

zbMATH Keywords

Hardy-Littlewood maximal operatorMorrey spacespotentialsCalderón-Zygmund operatorgrand spaces

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)

Related Items (12)

Fractional integrals and derivatives: mapping properties ⋮ The boundedness of Doob's maximal and fractional integral operators for generalized grand Morrey-martingale spaces ⋮ Trudinger's inequality and continuity for Riesz potentials of functions in grand Musielak-Orlicz-Morrey spaces over nondoubling metric measure spaces ⋮ Sobolev and Trudinger type inequalities on grand Musielak-Orlicz-Morrey spaces ⋮ On grand and small Lebesgue and Sobolev spaces and some applications to PDE's ⋮ Embedding theorems for Besov-Morrey spaces of many groups of variables ⋮ Grand Lebesgue space for p = ∞ and its application to Sobolev–Adams embedding theorems in borderline cases ⋮ Sobolev embeddings in grand Morrey spaces ⋮ Predual spaces of generalized grand Morrey spaces over non-doubling measure spaces ⋮ Grand Bochner-Lebesgue space and its associate space ⋮ A Thought on Generalized Morrey Spaces ⋮ The Boundedness of the Riesz Potential Operator from Generalized Grand Lebesgue Spaces to Generalized Grand Morrey Spaces

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