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2017 Atomic decompositions of weighted Hardy spaces with variable exponents
Kwok-Pun Ho
Tohoku Math. J. (2) 69(3): 383-413 (2017). DOI: 10.2748/tmj/1505181623

Abstract

We establish the atomic decompositions for the weighted Hardy spaces with variable exponents. These atomic decompositions also reveal some intrinsic structures of atomic decomposition for Hardy type spaces.

Citation

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Kwok-Pun Ho. "Atomic decompositions of weighted Hardy spaces with variable exponents." Tohoku Math. J. (2) 69 (3) 383 - 413, 2017. https://doi.org/10.2748/tmj/1505181623

Information

Published: 2017
First available in Project Euclid: 12 September 2017

zbMATH: 1378.42012
MathSciNet: MR3695991
Digital Object Identifier: 10.2748/tmj/1505181623

Subjects:
Primary: 42B30
Secondary: 42B25 , 42B35 , 46E30

Keywords: atomic decomposition , Hardy spaces , Littlewood-Paley theory , maximal functions , variable exponent analysis , vector-valued maximal inequalities , weight

Rights: Copyright © 2017 Tohoku University

Vol.69 • No. 3 • 2017
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