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The Parabolic Littlewood–Paley Operator with Hardy Space Kernels
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- Journal:
- Canadian Mathematical Bulletin / Volume 52 / Issue 4 / 01 December 2009
- Published online by Cambridge University Press:
- 20 November 2018, pp. 521-534
- Print publication:
- 01 December 2009
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- Article
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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 
${{H}^{1}}\left( {{S}^{n-1}} \right)$.
