Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 3: 517 - 534

DOI: https://doi.org/10.1007/s11464-011-0110-4

RESEARCH ARTICLE

Weighted estimates for parametrized Littlewood-Paley operators

  • Hongbin WANG ,
  • Zongguang LIU
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  • Department of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, China

Received date: 18 Aug 2010

Accepted date: 24 Jan 2011

Published date: 01 Jun 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this paper, we obtain some boundedness on the weighted Lebesgue spaces and the weighted Hardy spaces for the parametrized Littlewood-Paley operators with the kernel Ω satisfying the logarithmic type Lipschitz conditions.

Key words： Parametrized area integral; parametrized Littlewood-Paley gλ* function

Cite this article

Hongbin WANG , Zongguang LIU . Weighted estimates for parametrized Littlewood-Paley operators[J]. Frontiers of Mathematics in China, 2011 , 6(3) : 517 -534 . DOI: 10.1007/s11464-011-0110-4

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