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Lp ‐estimates for the Bergman projection on strictly pseudoconvex nonsmooth domains
Authors:Dariush Ehsani  Ingo Lieb
Abstract: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 Lp spaces, with the weights being powers of the gradient of the defining function. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Bergman projection  $ \bar \partial $‐problem  non‐smooth domains
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