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On decomposition theorems for Hardy spaces on domains in \(\mathbb{C}^ n\) and applications. (English) Zbl 0886.32003
Summary: Hardy spaces of analytic functions are studied both on strongly pseudoconvex domains in \(\mathbb{C}^n\) and on domains of finite type in \(\mathbb{C}^2\). Duality theorems, atomic decompositions, and factorization of functions are treated. Mapping properties of certain Hankel operators are studied.

MSC:
32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables
32T99 Pseudoconvex domains
32C37 Duality theorems for analytic spaces
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