Atomic decomposition of variable Hardy spaces via Littlewood-Paley-Stein theory

DOI10.1215/20088752-2017-0026zbMath1393.42023OpenAlexW2746559300MaRDI QIDQ1697811

Jian Tan

Publication date: 20 February 2018

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1502697622

zbMATH Keywords

Hardy spaceatomic decompositionvariable exponentLittlewood-Paley-Stein functions

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) (H^p)-spaces (42B30)

Related Items (11)

Real-variable theory of local variable Hardy spaces ⋮ A revisit to the atomic decomposition of weighted Hardy spaces ⋮ Discrete Paraproduct Operators on Variable Hardy Spaces ⋮ The continuity of pseudo-differential operators on Local variable Hardy spaces and their dual spaces ⋮ Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents ⋮ Atomic decompositions of localized Hardy spaces with variable exponents and applications ⋮ Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means ⋮ Bilinear Calderón-Zygmund operators on products of variable Hardy spaces ⋮ Boundedness of maximal operator for multilinear Calderón-Zygmund operators on products of variable Hardy spaces ⋮ Carleson measure spaces with variable exponents and their applications ⋮ Weighted variable Hardy spaces associated with para-accretive functions and boundedness of Calderón-Zygmund operators

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