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arXiv · 1210.5641

An atomic decomposition characterization of flag Hardy spaces $H^p_F({\rr}^{n}\times{\rr}^m)$ with applications

Xinfeng Wu
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Abstract

In this paper, we give an atomic decomposition characterization of flag Hardy spaces $H^p_F({\rr}^n\times {\rr}^m)$ for $0<p\le 1$, which were introduced in \cite{hl1}. A remarkable feature of atoms of such flag Hardy spaces is that these atoms have only partial cancellation conditions. As an application, we prove a boundedness criterion for operators on flag Hardy spaces.

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Xinfeng Wu. 2012-10-20. An atomic decomposition characterization of flag Hardy spaces $H^p_F({\rr}^{n}\times{\rr}^m)$ with applications. https://doi.org/10.1007/s12220-012-9347-8

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