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Lp -estimates for the Bergman projection on strictly pseudoconvex nonsmooth domains

✍ Scribed by Dariush Ehsani; Ingo Lieb

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 167 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200710649

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✦ Synopsis

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 L^p^ spaces, with the weights being powers of the gradient of the defining function. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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