Bergman Subspaces and Subkernels: Degenerate $$L^p$$ Mapping and Zeroes期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Bergman Subspaces and Subkernels: Degenerate $$L^p$$ Mapping and Zeroes

Authors:	L. D. Edholm J. D. McNeal

Affiliation:	1.Department of Mathematics,University of Michigan,Ann Arbor,USA;2.Department of Mathematics,The Ohio State University,Columbus,USA

Abstract:	Regularity and irregularity of the Bergman projection on (L^p) spaces is established on a natural family of bounded, pseudoconvex domains. The family is parameterized by a real variable (gamma ). A surprising consequence of the analysis is that, whenever (gamma ) is irrational, the Bergman projection is bounded only for (p=2).

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