Weak lineal convexity
Banach Center Publications (2015)
- Volume: 107, Issue: 1, page 159-174
- ISSN: 0137-6934
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topChrister O. Kiselman. "Weak lineal convexity." Banach Center Publications 107.1 (2015): 159-174. <http://eudml.org/doc/281911>.
@article{ChristerO2015,
abstract = {A bounded open set with boundary of class C¹ which is locally weakly lineally convex is weakly lineally convex, but, as shown by Yuriĭ Zelinskiĭ, this is not true for unbounded domains. The purpose here is to construct explicit examples, Hartogs domains, showing this. Their boundary can have regularity $C^\{1,1\}$ or $C^∞$.
Obstructions to constructing smoothly bounded domains with certain homogeneity properties will be discussed.},
author = {Christer O. Kiselman},
journal = {Banach Center Publications},
keywords = {lineal convexity; weak lineal covexity; pseudoconvexity; Behnke-Peschl condition; Hartogs domain},
language = {eng},
number = {1},
pages = {159-174},
title = {Weak lineal convexity},
url = {http://eudml.org/doc/281911},
volume = {107},
year = {2015},
}
TY - JOUR
AU - Christer O. Kiselman
TI - Weak lineal convexity
JO - Banach Center Publications
PY - 2015
VL - 107
IS - 1
SP - 159
EP - 174
AB - A bounded open set with boundary of class C¹ which is locally weakly lineally convex is weakly lineally convex, but, as shown by Yuriĭ Zelinskiĭ, this is not true for unbounded domains. The purpose here is to construct explicit examples, Hartogs domains, showing this. Their boundary can have regularity $C^{1,1}$ or $C^∞$.
Obstructions to constructing smoothly bounded domains with certain homogeneity properties will be discussed.
LA - eng
KW - lineal convexity; weak lineal covexity; pseudoconvexity; Behnke-Peschl condition; Hartogs domain
UR - http://eudml.org/doc/281911
ER -
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