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The Parabolic Littlewood--Paley Operator with Hardy Space Kernels

  Published:2009-12-01
 Printed: Dec 2009
  • Yanping Chen
  • Yong Ding
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Abstract

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 $H^1(S^{n-1})$.
Keywords: parabolic Littlewood-Paley operator, Hardy space, rough kernel parabolic Littlewood-Paley operator, Hardy space, rough kernel
MSC Classifications: 42B20, 42B25 show english descriptions Singular and oscillatory integrals (Calderon-Zygmund, etc.)
Maximal functions, Littlewood-Paley theory
42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.)
42B25 - Maximal functions, Littlewood-Paley theory
 

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