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Lp ESTIMATES FOR THE BERGMAN PROJECTION ON SOME REINHARDT DOMAINS.

Authors :
Zhenghui Huo
Source :
Proceedings of the American Mathematical Society; Jun2018, Vol. 146 Issue 6, p2541-2553, 13p
Publication Year :
2018

Abstract

We obtain L<superscript>p</superscript> regularity for the Bergman projection on some Reinhardt domains. We start with a bounded initial domain Ω with some symmetry properties and generate successor domains in higher dimensions. We prove: If the Bergman kernel on Ω satisfies appropriate estimates, then the Bergman projection on the successor is L<superscript>p</superscript> bounded. For example, the Bergman projection on successors of strictly pseudoconvex initial domains is bounded on L<superscript>p</superscript> for 1 < p < ∞. The successor domains need not have smooth boundary nor be strictly pseudoconvex. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
146
Issue :
6
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
128645292
Full Text :
https://doi.org/10.1090/proc/13932