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The Parabolic Littlewood–Paley Operator with Hardy Space Kernels

Published online by Cambridge University Press:  20 November 2018

Yanping Chen  and
Yong Ding
Yanping Chen
Affiliation:
Department of Mathematics and Mechanics Applied Science School, University of Science and Technology Beijing, Beijing 100083, The People's Republic of China e-mail: yanpingch@126.com
Yong Ding
Affiliation:
School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems (BNU), Ministry of Education, Beijing 100875, The People's Republic of China e-mail: dingy@bnu.edu.cn
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Abstract

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In this paper, we give the ${{L}^{p}}$ boundedness for a class of parabolic Littlewood–Paley $g$-function with its kernel function $\Omega$ is in the Hardy space ${{H}^{1}}\left( {{S}^{n-1}} \right)$.

Keywords

42B2042B25parabolic Littlewood-Paley operatorHardy spacerough kernel
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 4 , 01 December 2009 , pp. 521 - 534
Copyright
Copyright © Canadian Mathematical Society 2009

References

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