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SOME CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH TWISTED CONVOLUTION

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  17 April 2009

JIZHENG HUANG
JIZHENG HUANG*
Affiliation:
CIAS, China Economics and Management Academy, Central University of Finance and Economics, Beijing, 100081, PR China (email: [email protected])
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Abstract

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In this paper, we shall give some characterizations of the Hardy space associated with twisted convolution, including Lusin area integral, Littlewood–Paley g-function and heat maximal function.

Keywords

twisted convolutionHardy spaceatomic decompositionLusin area integralLittlewood–Paley g-function

MSC classification

Secondary: 42B30: $H^p$-spaces 42B25: Maximal functions, Littlewood-Paley theory 42B35: Function spaces arising in harmonic analysis
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 79 , Issue 3 , June 2009 , pp. 405 - 417
Copyright
Copyright © Australian Mathematical Society 2009

Footnotes

The author was supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 2007001040).

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