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2013 MOLECULAR DECOMPOSITION OF WEIGHTED ANISOTROPIC HARDY SPACES
Kai Zhao, Lan-lan Li
Taiwanese J. Math. 17(2): 583-599 (2013). DOI: 10.11650/tjm.17.2013.1971

Abstract

In this paper, the weighted anisotropic Hardy spaces associated with the general discrete group dilations, the weighted anisotropic atoms and molecules are introduced. Then the molecular decomposition of the weighted anisotropic Hardy spaces is obtained. As an application, the boundedness of Calderón-Zygmund operators on the weighted anisotropic Hardy spaces is discussed.

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Kai Zhao. Lan-lan Li. "MOLECULAR DECOMPOSITION OF WEIGHTED ANISOTROPIC HARDY SPACES." Taiwanese J. Math. 17 (2) 583 - 599, 2013. https://doi.org/10.11650/tjm.17.2013.1971

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1282.42021
MathSciNet: MR3044524
Digital Object Identifier: 10.11650/tjm.17.2013.1971

Subjects:
Primary: 42B20 , 42B30

Keywords: anisotropic , Calderón-Zygmund operator , Hardy space , molecular decomposition

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

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Vol.17 • No. 2 • 2013
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