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L p ‐estimates for the Bergman projection on strictly pseudoconvex nonsmooth domains
Author(s) -
Ehsani Dariush,
Lieb Ingo
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200710649
Subject(s) - mathematics , projection (relational algebra) , bergman kernel , bounded function , pseudoconvex function , pure mathematics , bergman space , function (biology) , mathematical analysis , geometry , regular polygon , subderivative , algorithm , convex optimization , evolutionary biology , biology
We consider the Bergman projection on Henkin–Leiterer domains, bounded strictly pseudoconvex domains which have defining functions whose gradient is allowed to vanish. Our result describes the mapping properties of the Bergman projection between weighted L p spaces, with the weights being powers of the gradient of the defining function. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)