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The Parabolic Littlewood--Paley Operator with Hardy Space Kernels |
Canad. Math. Bull. 52(2009), 521-534
Published:2009-12-01
Printed: Dec 2009
Printed: Dec 2009
- Yanping Chen
- Yong Ding
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 |
| MSC Classifications: |
42B20 - Singular and oscillatory integrals (Calderon-Zygmund, etc.) 42B25 - Maximal functions, Littlewood-Paley theory |