Work

A note on plurisubharmonic defining functions in $\mathbb{C}^n$

Year: 2007

Type: preprint

Abstract: Let D be a smoothly bounded domain in complex space of dimension larger than 2. Suppose that D admits a smooth defining function which is plurisubharmonic on the boundary of D. Then the Diederich-Fornaess exponent can be chosen arbitrarily close to 1, and the closure of D admits a Stein neighborhood basis.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0710.4165

Authors: Fornaess, J. E., Herbig, A. -K.

Institutions: University of Michigan, University of Vienna

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Austrian Science Fund

Award: Operator Properties for the d-bar Neumann Problem

OpenAlex ID: W2949979502

Cites: 5

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Related to: 10