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 © University of Illinois.

The Bergman projection in Lp for domains with minimal smoothness

Lanzani L.;
2012

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 © University of Illinois.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/873290
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