An Example on s-H-Convexity in $$\pmb {\mathbb {C}^2}$$-Reference-Cited by-同舟云学术

An Example on s-H-Convexity in $$\pmb {\mathbb {C}^2}$$

Published:2020-01-27 Issue:3 Volume:31 Page:2439-2454
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Simon Lars^ORCID,Stensønes Berit

Abstract

AbstractWe construct a bounded domain

$$\Omega $$

Ω in

$$\mathbb {C}^2$$

C 2 with boundary of class

$${\mathcal {C}^{1,1}}$$

C 1 , 1 such that

$$\overline{\Omega }$$

Ω ¯ has a Stein neighborhood basis, but is nots-H-convex for any real number

$$s\ge {1}$$

s ≥ 1 .

Funder

Research Council of Norway

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1007/s12220-020-00359-5.pdf

Reference6 articles.

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5. Diederich, K., Fornaess, J.E.: Pseudoconvex domains: an example with nontrivial Nebenhülle. Math. Ann. 225(3), 275–292 (1977)