Miscellanea on PSH Functions and L^2 Methods on Pseudoconvex Domains

JOURNAL OF GEOMETRIC ANALYSIS（2023）

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摘要

Plurisubharmonic (=PSH) functions and the L^2 method will be discussed in connection to the completeness question of the Bergman metric and certain rigidity question of analytic families. Notes on the negligible sets for L^2 holomorphic functions will be given, too.

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关键词

Plurisubharmonic function,-equation,estimates,curvature form,Hyperconvex domain,Bergman kernel,Bergman metric,Nishino’s rigidity,Pluripolar set,Negligible set,Primary 32E40,Secondary 32T05

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