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

arXiv:1210.5641 · doi:10.1007/s12220-012-9347-8

Abstract

In this paper, we give an atomic decomposition characterization of flag Hardy spaces $H^p_F({\rr}^n\times {\rr}^m)$ for , 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.

Journal of Geometric Analysis, to appear

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