Hua Wang
Published 2010-12-03, updated 2012-06-27Version 2
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.
Weak type estimates of intrinsic square functions on the weighted Hardy spaces
Variational characterizations of weighted Hardy spaces and weighted $BMO$ spaces
Weighted Hardy spaces characterized by blocks and estimates of sublinear operators for $0<p<\infty$
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