Atomic decomposition of variable Hardy spaces via Littlewood-Paley-Stein theory
type: Item
instance of: scholarly article
title: Atomic decomposition of variable Hardy spaces via Littlewood-Paley-Stein theory
zbMATH Open document ID: 1393.42023
DOI: 10.1215/20088752-2017-0026
author: Jian Tan
published in: Annals of Functional Analysis
publication date: 2018-02-20T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.afa/1502697622
review text: In this paper, a new atomic decomposition for variable Hardy spaces \(H^{p(\cdot)}\), with \(0<p^{-}\leq p^+<\infty\), is established via the discrete Littlewood-Paley-Stein theory. This decomposition is applied to prove that every linear operator bounded on \(L^q\), \(1<q<\infty\), and \(H^{p(\cdot)}\), can be extended to a bounded operator from \(H^{p(\cdot)}\) to \(L^{p(\cdot)}\).
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 42B30
Mathematics Subject Classification ID: 47A30
zbMATH DE Number: 6841343
zbMATH Keywords: Hardy space
zbMATH Keywords: variable exponent
zbMATH Keywords: atomic decomposition
zbMATH Keywords: Littlewood-Paley-Stein functions
MaRDI profile type: Publication
OpenAlex ID: W2746559300
description: scientific article; zbMATH DE number 6841343