The regularity of the weighted Bergman projections

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 1985Publisher:Springer Berlin Heidelberg

Authors: Ewa Ligocka;

doi: 10.1007/bfb0076154

The regularity of the weighted Bergman projections

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Abstract

In the paper the following fact is proved: If D is a smooth pseudoconvex bounded domain such that for some s > 0 there exists a compact operator Ts : W s (D)→Ws(D) solving the \(\bar \partial\)-problem \((\bar \partial T_s W = W)\), then for each \(w \in C^\infty (\bar D)\), the weighted Bergman projection with weight eW is a continuous operator from Ws(D) into Ws(D).

Related Organizations

Polish Academy of Learning
Poland

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