Singular integral operators with rough kernels on Morrey type spaces

DOI10.4064/sm8390-8-2017zbMath1423.42025OpenAlexW2892011678WikidataQ129239267 ScholiaQ129239267MaRDI QIDQ4963328

Kwok-Pun Ho

Publication date: 1 November 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm8390-8-2017

zbMATH Keywords

rough kernelsingular integralsOrlicz spacesMorrey spacesBanach function spacesLebesgue spaces with variable exponents

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 (16)

Multilinear commutators related to maximal function on Morrey-Banach space and its application ⋮ Boundedness of operators and inequalities on Morrey-Banach spaces ⋮ Definability of singular integral operators on Morrey-Banach spaces ⋮ A remark on the paper ``Vector-valued operators with singular kernel and Triebel-Lizorkin block spaces with variable exponents by Kwok Pun Ho ⋮ An unification of Orlicz-Morrey spaces and its applications ⋮ Two-weight norm inequalities for rough fractional integral operators on Morrey spaces ⋮ Weak type estimates of singular integral operators on Morrey-Banach spaces ⋮ Sublinear operators on block-type spaces ⋮ Local sharp maximal functions, geometrical maximal functions and rough maximal functions on local Morrey spaces with variable exponents ⋮ Zygmund inequality of the conjugate function on Morrey-Zygmund spaces ⋮ Fractional integral operators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces ⋮ Erdélyi-Kober fractional integral operators on ball Banach function spaces ⋮ Nonlinear commutators on Morrey-Banach spaces ⋮ Fractional geometrical maximal functions on Morrey spaces with variable exponents ⋮ Gradient estimates of parabolic Cauchy-Dirichlet problems on Morrey-Banach spaces ⋮ Singular integral operators for rearrangement-invariant Morrey spaces on local fields

Cites Work

• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• Some properties of Morrey type Besov-Triebel spaces
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