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@article{770692,
author = {Kolář, Martin},
article_location = {Německo},
article_number = {2},
keywords = {Kohn-Nirenberg phenomenon; convexifiability; generalized models; pseudoconvexity; finite type},
language = {eng},
issn = {0025-5874},
journal = {Matematische Zeitschrift},
title = {Generalized models and local invariants of Kohn-Nirenberg domains},
volume = {259},
year = {2008}
}
TY - JOUR
ID - 770692
AU - Kolář, Martin
PY - 2008
TI - Generalized models and local invariants of Kohn-Nirenberg domains
JF - Matematische Zeitschrift
VL - 259
IS - 2
SP - 277-286
EP - 277-286
PB - Springer Verlag
SN - 00255874
KW - Kohn-Nirenberg phenomenon
KW - convexifiability
KW - generalized models
KW - pseudoconvexity
KW - finite type
N2 - The main obstruction for constructing holomorphic reproducing kernels of Cauchy type on weakly pseudoconvex domains is the Kohn-Nirenberg phenomenon, i.e., nonexistence of supporting functions and local nonconvexifiability. This paper gives an explicit verifiable characterization of weakly pseudoconvex but locally nonconvexifiable hypersurfaces of finite type in dimension two. It is expressed in terms of a generalized model, which captures local geometry of the hypersurface both in the complex tangential and nontangential directions. As an application we obtain a new class of nonconvexifiable pseudoconvex hypersurfaces with convex models.
ER -
KOLÁŘ, Martin. Generalized models and local invariants of Kohn-Nirenberg domains. \textit{Matematische Zeitschrift}. Německo: Springer Verlag, roč.~259, č.~2, s.~277-286. ISSN~0025-5874. 2008.
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