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February 2018 Atomic decomposition of variable Hardy spaces via Littlewood–Paley–Stein theory
Jian Tan
Ann. Funct. Anal. 9(1): 87-100 (February 2018). DOI: 10.1215/20088752-2017-0026

Abstract

The purpose of this paper is to give a new atomic decomposition for variable Hardy spaces via the discrete Littlewood–Paley–Stein theory. As an application of this decomposition, we assume that T is a linear operator bounded on Lq and Hp(), and we thus obtain that T can be extended to a bounded operator from Hp() to Lp().

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Jian Tan. "Atomic decomposition of variable Hardy spaces via Littlewood–Paley–Stein theory." Ann. Funct. Anal. 9 (1) 87 - 100, February 2018. https://doi.org/10.1215/20088752-2017-0026

Information

Received: 21 September 2016; Accepted: 23 February 2017; Published: February 2018
First available in Project Euclid: 14 August 2017

zbMATH: 06841343
MathSciNet: MR3758745
Digital Object Identifier: 10.1215/20088752-2017-0026

Subjects:
Primary: 46E35
Secondary: 42B30 , 47A30

Keywords: atomic decomposition , Hardy spaces , Littlewood–Paley–Stein functions , ‎variable exponent

Rights: Copyright © 2018 Tusi Mathematical Research Group

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Vol.9 • No. 1 • February 2018
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