Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity

DOI10.7146/math.scand.a-114725zbMath1426.42014arXiv1708.07343OpenAlexW2971108363MaRDI QIDQ5234903

Shuichi Sato

Publication date: 7 October 2019

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07343

zbMATH Keywords

weak type estimatesnon-isotropic fractional integralsMarcinckiewicz type integral

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) (H^p)-spaces (42B30)

Related Items (2)

Sobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz type ⋮ Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications

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