Generalized fractional maximal operators and vector-valued inequalities on generalized Orlicz-Morrey spaces

DOI10.1007/s13163-015-0178-6zbMath1335.42016OpenAlexW1189721053WikidataQ125027929 ScholiaQ125027929MaRDI QIDQ262637

Denny Ivanal Hakim, Yoshihiro Sawano, Eiichi Nakai

Publication date: 30 March 2016

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13163-015-0178-6

zbMATH Keywords

singular integral operatorsHardy-Littlewood maximal operatorvector-valued inequalitiesgeneralized fractional maximal operatorsgeneralized Orlicz-Morrey 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) Function spaces arising in harmonic analysis (42B35)

Related Items (20)

The singular integral operator and its commutator on weighted Morrey spaces ⋮ Calderón–Zygmund operators and their commutators on generalized weighted Orlicz–Morrey spaces ⋮ An unification of Orlicz-Morrey spaces and its applications ⋮ Generalized weighted Morrey spaces and classical operators ⋮ Biographical Sketch of Professor Eiichi Nakai ⋮ Inclusion properties of generalized Morrey spaces ⋮ GENERALIZED MORREY SPACES OVER NONHOMOGENEOUS METRIC MEASURE SPACES ⋮ Unnamed Item ⋮ A Thought on Generalized Morrey Spaces ⋮ Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group ⋮ Unnamed Item ⋮ Commutators of fractional maximal operator on generalized Orlicz-Morrey spaces ⋮ Generalized Morrey spaces -- revisited ⋮ Strong summability of Fourier series and generalized Morrey spaces ⋮ A predual of a predual of \(B_\sigma\) and its applications to commutators ⋮ Unnamed Item ⋮ Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz-Morrey spaces of the third kind ⋮ Applications of interpolation methods and Morrey spaces to elliptic PDEs ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces ⋮ A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz–Morrey spaces

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