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Weighted Bergman projections and tangential area integrals

William Cohn (1993)

Studia Mathematica

Let Ω be a bounded strictly pseudoconvex domain in n . In this paper we find sufficient conditions on a function f defined on Ω in order that the weighted Bergman projection P s f belong to the Hardy-Sobolev space H k p ( Ω ) . The conditions on f we consider are formulated in terms of tent spaces and complex tangential vector fields. If f is holomorphic then these conditions are necessary and sufficient in order that f belong to the Hardy-Sobolev space H k p ( Ω ) .

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