Geodesic
Weighted Bergman projections and tangential area integrals
Studia Mathematica, Tome 106 (1993) no. 1, pp. 59-76

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $H^p_k(∂Ω)$.
DOI : 10.4064/sm-106-1-59-76

William S. Cohn 1

1 
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William S. Cohn. Weighted Bergman projections and tangential area integrals. Studia Mathematica, Tome 106 (1993) no. 1, pp. 59-76. doi: 10.4064/sm-106-1-59-76

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