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

2010/12/03 by Hua Wang, Wang, Hua
Mathematics · #42B25 #42B30 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1012.0654

openalex publication_date 2010/12/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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