Plurisubharmonic domination in Fréchet spaces
Abstract
In a class of Fréchet spaces that includes the space s of rapidly decreasing sequences, this dissertation shows that in a uniformly open pseudoconvex set then for any locally bounded function u there exists a continuous plurisubharmonic function v such that u is less than or equal to v. Moreover, if the set is the entire Fréchet space then there exists a Banach space and a holomorphic function f to this Banach space such that u is less than or equal to the norm of f.
Degree
Ph.D.
Advisors
Lempert, Purdue University.
Subject Area
Applied Mathematics|Mathematics
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