TY - JOUR
T1 - The Bergman projection in Lp for domains with minimal smoothness
AU - Lanzani, Loredana
AU - Stein, Elias M.
PY - 2012
Y1 - 2012
N2 - 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
AB - 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
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U2 - 10.1215/ijm/1380287464
DO - 10.1215/ijm/1380287464
M3 - Article
AN - SCOPUS:84884782645
SN - 0019-2082
VL - 56
SP - 127
EP - 154
JO - Illinois Journal of Mathematics
JF - Illinois Journal of Mathematics
IS - 1
ER -