Annals of Functional Analysis
- Ann. Funct. Anal.
- Volume 9, Number 1 (2018), 87-100.
Atomic decomposition of variable Hardy spaces via Littlewood–Paley–Stein theory
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 is a linear operator bounded on and , and we thus obtain that can be extended to a bounded operator from to .
Ann. Funct. Anal., Volume 9, Number 1 (2018), 87-100.
Received: 21 September 2016
Accepted: 23 February 2017
First available in Project Euclid: 14 August 2017
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Tan, Jian. Atomic decomposition of variable Hardy spaces via Littlewood–Paley–Stein theory. Ann. Funct. Anal. 9 (2018), no. 1, 87--100. doi:10.1215/20088752-2017-0026. https://projecteuclid.org/euclid.afa/1502697622