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

Setsuo Taniguchi

doi:10.1016/0022-1236(91)90053-8

On the Silov boundary of a pseudoconvex domain in Cⁿ with C^{2 + α} boundary

Setsuo Taniguchi

Division for Theoretical Natural Science

Research output: Contribution to journal › Article › peer-review

Abstract

Let D be a bounded pseudoconvex domain in Cⁿ and ∂_spcD be the totality of strictly pseudoconvex boundary points. When D has a C^{2 + 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 language	English
Pages (from-to)	100-109
Number of pages	10
Journal	Journal of Functional Analysis
Volume	99
Issue number	1
DOIs	https://doi.org/10.1016/0022-1236(91)90053-8
Publication status	Published - Jul 1991

All Science Journal Classification (ASJC) codes

Analysis

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10.1016/0022-1236(91)90053-8

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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.",

author = "Setsuo Taniguchi",

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AB - 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.

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On the Silov boundary of a pseudoconvex domain in Cⁿ with C^{2 + α} boundary

Abstract

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