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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 $ℂ^{n}$ . 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 $H_{k}^{p} (\partial Ω)$ . 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 $H_{k}^{p} (\partial Ω)$ .

Tangential characterizations of BMOA on strictly pseudoconvex domains.

William S. Cohn — 1993

Mathematica Scandinavica

Phragmén-Lindelöf theorems for subharmonic functions on the unit disk.

Robert D. Bermann; William S. Cohn — 1988

Mathematica Scandinavica

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