The Bergman projection in Lp for domains with minimal smoothness

Loredana Lanzani, Elias M. Stein

Research output: Contribution to journalArticle

14 Scopus citations

Abstract

Let D⊂ℂn be a bounded, strongly Levi-pseudoconvex domain with minimally smooth boundary. We prove Lp(D)-regularity for the Bergman projection B, and for the operator {pipe}B{pipe} whose kernel is the absolute value of the Bergman kernel with p in the range (1,+∞). As an application, we show that the space of holomorphic functions in a neighborhood of D is dense in θ{symbol}Lp(D). 2013

Original languageEnglish (US)
Pages (from-to)127-154
Number of pages28
JournalIllinois Journal of Mathematics
Volume56
Issue number1
StatePublished - Dec 1 2012
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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