Boundedness of operators and inequalities on Morrey-Banach spaces

DOI10.4171/PRIMS/58-3-4zbMath1502.42011WikidataQ114021398 ScholiaQ114021398MaRDI QIDQ2165819

Kwok-Pun Ho

Publication date: 23 August 2022

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

singular integral operatorBanach function spaceextrapolationmultiplierMorrey spaceBochner-Riesz operatorFourier integral operatorvariable exponent analysisgeometric maximal operators

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)

Boundedness of fractional integral operators on Hardy-amalgam spaces ⋮ Extrapolation to mixed norm spaces and applications ⋮ Calderón-Zygmund operators, Bochner-Riesz means, and parametric Marcinkiewicz integrals on Hardy-Morrey spaces with variable exponents ⋮ An unification of Orlicz-Morrey spaces and its applications ⋮ Mapping properties for operators on Herz-Morrey and Herz-Morrey-Hardy spaces ⋮ Strongly singular Calderón-Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Sublinear operators on Herz–Hardy spaces with variable exponents ⋮ Operators on Herz-Morrey spaces with variable exponents ⋮ Extrapolation for weighted product Morrey spaces and some applications ⋮ Littlewood–Paley–Rubio de Francia inequality for multi‐parameter Vilenkin systems ⋮ Martingale transforms on Banach function spaces ⋮ Grand Morrey spaces and grand Hardy-Morrey spaces on Euclidean space ⋮ Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ Fractional integral operators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces ⋮ Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents ⋮ Nonlinear commutators on Morrey-Banach spaces ⋮ Fractional geometrical maximal functions on Morrey spaces with variable exponents ⋮ Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents ⋮ Gradient estimates of parabolic Cauchy-Dirichlet problems on Morrey-Banach spaces

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