Factorization theorems for Hardy spaces of the bidisc, 0<𝑝≤1

Lin, Ing-Jer

doi:10.1090/S0002-9939-96-03193-0

Factorization theorems for Hardy spaces of the bidisc, $0 < p \le 1$
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Proc. Amer. Math. Soc. 124 (1996), 549-560 Request permission

Abstract:

A factorization theorem is proved in the Hardy spaces $H^p$ of the bi-upper half plane, $0<p\le 1$. The proof is based on some fundamental work of Chang-Fefferman on atomic decompositions of $H^p$.

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