Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators

DOI10.1007/s11425-019-1645-1zbMath1476.42017arXiv1905.02097OpenAlexW3186699187MaRDI QIDQ2236590

Songbai Wang, Wen Yuan, Yangyang Zhang, Da Chun Yang

Publication date: 25 October 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02097

zbMATH Keywords

maximal functionatommoleculeCalderón-Zygmund operatorweak Hardy spaceball quasi-Banach function spaceOrlicz-slice space

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

Related Items (36)

New characterizations of the dual spaces of Hardy-amalgam spaces ⋮ Weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: decompositions, real interpolation, and Calderón-Zygmund operators ⋮ New function classes of Morrey-Campanato type and their applications ⋮ Some applications of the dual spaces of Hardy-amalgam spaces ⋮ Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type: Littlewood-Paley characterizations with applications to boundedness of Calderón-Zygmund operators ⋮ Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein ⋮ Real-variable characterizations of local Orlicz-slice Hardy spaces with application to bilinear decompositions ⋮ Boundedness of Calderón-Zygmund operators on ball Campanato-type function spaces ⋮ Hardy spaces associated with ball quasi‐Banach function spaces on spaces of homogeneous type: Characterizations of maximal functions, decompositions, and dual spaces ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Riesz transform characterization of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Rubio de Francía's weighted extrapolation in mixed‐norm spaces and applications ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Extrapolations on ball Banach function spaces and applications ⋮ Strongly singular Calderón-Zygmund operators on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Mixed-norm Herz spaces and their applications in related Hardy spaces ⋮ Anisotropic ball Campanato-type function spaces and their applications ⋮ Boundedness of fractional integrals on ball Campanato-type function spaces ⋮ Bochner-Riesz means on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Block decomposition for Herz spaces associated with ball Banach function spaces ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces ⋮ Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ Atomic characterization of Musielak-Orlicz-Lorentz Hardy spaces and its applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Real-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Applications of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Boundedness criterion for some integral operators on generalized mixed Morrey spaces and generalized mixed Hardy-Morrey spaces ⋮ New ball Campanato-type function spaces and their applications ⋮ Special John-Nirenberg-Campanato spaces via congruent cubes ⋮ Linear operators and their commutators generated by Calderón-Zygmund operators on generalized Morrey spaces associated with ball Banach function spaces ⋮ Molecular characterization of weak Hardy spaces associated with ball quasi-Banach function spaces on spaces of homogeneous type with its applications to Littlewood-Paley function characterizations ⋮ Estimates for Littlewood-Paley operators on ball Campanato-type function spaces ⋮ Intrinsic Square Function Characterizations of Several Hardy--Type Spaces--a Survey ⋮ Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces

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