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2010 WEIGHTED HARDY SPACES ASSOCIATED TO PARA-ACCRETIVE FUNCTIONS
Sen-Hua Lan, Chin-Cheng Lin
Taiwanese J. Math. 14(3B): 1055-1078 (2010). DOI: 10.11650/twjm/1500405905

Abstract

In this article, after establishing weighted Plancherel-Pôlya-type inequalities, we introduce a new class of weighted Hardy spaces $H^p_{b,w}$ by using $g$-function, where $w$ is a Muckenhoupt's weight and $b$ is a para-accretive function. Then we show the atomic decomposition and molecular characterization of $H^p_{b,w}$. As applications, we prove the boundedness of Calderón-Zygmund operators between $H^p_{b,w}$ and classical weighted Hardy spaces $H^p_w$.

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Sen-Hua Lan. Chin-Cheng Lin. "WEIGHTED HARDY SPACES ASSOCIATED TO PARA-ACCRETIVE FUNCTIONS." Taiwanese J. Math. 14 (3B) 1055 - 1078, 2010. https://doi.org/10.11650/twjm/1500405905

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1214.42030
MathSciNet: MR2674596
Digital Object Identifier: 10.11650/twjm/1500405905

Subjects:
Primary: 42B25
Secondary: 42B30

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

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Vol.14 • No. 3B • 2010
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