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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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