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.
Lanzani, L., Stein, E.M. (2012). The Bergman projection in Lp for domains with minimal smoothness. ILLINOIS JOURNAL OF MATHEMATICS, 56(1), 127-154 [10.1215/ijm/1380287464].
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.File in questo prodotto:
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