Sublinear operators on mixed-norm Hardy spaces with variable exponents

DOI10.4171/RLM/902zbMath1460.42037MaRDI QIDQ2658502

Kwok-Pun Ho

Publication date: 23 March 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

zbMATH Keywords

singular integralHardy spacesextrapolationLittlewood-Paley functionBochner-Riesz meansMarcinkiewicz integralmixed-norm spacessublinear operatorintrinsic square function

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) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (13)

Extrapolation to mixed norm spaces and applications ⋮ Fourier transform of Hardy spaces associated with ball quasi-Banach function spaces* ⋮ Calderón-Zygmund operators, Bochner-Riesz means, and parametric Marcinkiewicz integrals on Hardy-Morrey spaces with variable exponents ⋮ Sublinear operators on Herz–Hardy spaces with variable exponents ⋮ The Mihlin multiplier theorem on anisotropic mixed-norm Hardy spaces ⋮ Hardy-complementary local Morrey spaces ⋮ Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents ⋮ Erdélyi-Kober fractional integrals on Hardy space and BMO ⋮ Spherical maximal function, maximal Bochner-Riesz mean and geometrical maximal function on Herz spaces with variable exponents ⋮ Anisotropic mixed-norm Campanato-type spaces with applications to duals of anisotropic mixed-norm Hardy spaces ⋮ Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces ⋮ Calderón-Zygmund operators on Morrey and Hardy-Morrey spaces in locally compact Vilenkin groups ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces

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