| KOLÁŘ, Martin. Local convexifiability of some rigid domains. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II,. Palermo (Italy), 2005, roč. 75, Suppl., s. 251-257. ISSN 0009-725X. |
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@article{598384,
author = {Kolář, Martin},
article_location = {Palermo (Italy)},
article_number = {Suppl.},
keywords = {convexifiability; Kohn-Nirenberg phenomenon; finite type; rigid domains},
language = {eng},
issn = {0009-725X},
journal = {Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II,},
title = {Local convexifiability of some rigid domains},
volume = {75},
year = {2005}
}
TY - JOUR
ID - 598384
AU - Kolář, Martin
PY - 2005
TI - Local convexifiability of some rigid domains
JF - Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II,
VL - 75
IS - Suppl.
SP - 251-257
EP - 251-257
SN - 0009725X
KW - convexifiability
KW - Kohn-Nirenberg phenomenon
KW - finite type
KW - rigid domains
N2 - The main obstruction for constructing holomorphic reproducing kernels on weakly pseudoconvex domains is the Kohn-Nirenberg phenomenon, i.e., nonexistence of supporting functions and local nonconvexifiability. It is well known that domains of type four in C^2 do admit supporting functions at every boundary point, but still open is the question whether such domains are also locally convexifiable. This paper proves this under the additional assumption of rigidity of the domain.
ER -
KOLÁŘ, Martin. Local convexifiability of some rigid domains. \textit{Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II,}. Palermo (Italy), 2005, roč.~75, Suppl., s.~251-257. ISSN~0009-725X.
|
