Weighted Bergman projections and tangential area integrals

Tom 106 / 1993

William S. Cohn Studia Mathematica 106 (1993), 59-76 DOI: 10.4064/sm-106-1-59-76


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 $H^p_k(∂Ω)$. 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 $H^p_k(∂Ω)$.


  • William S. Cohn

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