Marcinkiewicz 积分在加权Hardy 空间和加权Herz 型Hardy 空间上的弱型估计

Abstract

Abstract:

The Marcinkiewicz integral is essentially a Littlewood-Paley g-function, which plays an important role in harmonic analysis. In this article, by using the atomic decomposition theory of weighted Hardy spaces and homogeneous weighted Herz-type Hardy spaces, we obtain some weighted weak type estimates for Marcinkiewicz integrals on these spaces.

Key words: Marcinkiewicz integrals, Weighted Hardy spaces, Weighted Herz-type Hardy spaces, A_p weights, Atomic decomposition

CLC Number:

42B25

WANG Hua. Weak Type Estimates of Marcinkiewicz Integrals on the Weighted Hardy and Herz-type Hardy Spaces[J].Acta mathematica scientia,Series A, 2012, 32(5): 840-850.

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Weak Type Estimates of Marcinkiewicz Integrals on the Weighted Hardy and Herz-type Hardy Spaces

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