Open Access
January, 2005 Weak type (1, 1) bounds for a class of the Littlewood-Paley operators
Yong DING, Qingying XUE
J. Math. Soc. Japan 57(1): 183-194 (January, 2005). DOI: 10.2969/jmsj/1160745821

Abstract

In this paper the authors give the weak type (1,1) boundedness and the L p boundedness of a class of the parametrized Littlewood-Paley operators. These conclusions improve and complete some known results.

Citation

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Yong DING. Qingying XUE. "Weak type (1, 1) bounds for a class of the Littlewood-Paley operators." J. Math. Soc. Japan 57 (1) 183 - 194, January, 2005. https://doi.org/10.2969/jmsj/1160745821

Information

Published: January, 2005
First available in Project Euclid: 13 October 2006

zbMATH: 1076.42012
MathSciNet: MR2114728
Digital Object Identifier: 10.2969/jmsj/1160745821

Subjects:
Primary: 42B25 , 47G10

Keywords: area integral , Littlewood-Paley $\g_\lambda^*$ function , weak boundedness

Rights: Copyright © 2005 Mathematical Society of Japan

Vol.57 • No. 1 • January, 2005
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