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

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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 - Jul 1991

All Science Journal Classification (ASJC) codes

  • Analysis

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