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Weak type estimates of Marcinkiewicz integrals on the weighted Hardy spaces and weighted Herz-type Hardy spaces.

Пнд, 12/06/2010 - 16:01 — SomNambul
Authors: Hua Wang
Subjects: Classical Analysis and ODEs
link: http://arxiv.org/abs/1012.0654
Abstract

The Marcinkiewicz integral is essentially a Littlewood-Paley $g$-function,
which plays a 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 will obtain some weighted weak type
estimates for Marcinkiewicz integrals on these spaces.

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