On the Silov boundary of a pseudoconvex domain in Cn with C2 + α boundary

Research output: Contribution to journalArticle

Abstract

Let D be a bounded pseudoconvex domain in Cn and ∂spcD be the totality of strictly pseudoconvex boundary points. When D has a C2 + α plurisubharmonic defining function, a holomorphic diffusion process which never approaches ∂D ∂spc is constructed. This diffusion process is used to show that the Silov boundary of D coincides with ∂spc.

Original languageEnglish
Pages (from-to)100-109
Number of pages10
JournalJournal of Functional Analysis
Volume99
Issue number1
DOIs
Publication statusPublished - Jan 1 1991

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Pseudoconvex Domain
Diffusion Process
Pseudoconvex
Bounded Domain
Strictly

All Science Journal Classification (ASJC) codes

  • Analysis

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On the Silov boundary of a pseudoconvex domain in Cn with C2 + α boundary. / Taniguchi, Setsuo.

In: Journal of Functional Analysis, Vol. 99, No. 1, 01.01.1991, p. 100-109.

Research output: Contribution to journalArticle

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