2008
Generalized models and local invariants of Kohn-Nirenberg domains
KOLÁŘ, MartinBasic information
Original name
Generalized models and local invariants of Kohn-Nirenberg domains
Name in Czech
Zobecněné modely a lokální invarianty Kohn-Nirenbergových oblastí
Authors
KOLÁŘ, Martin (203 Czech Republic, guarantor)
Edition
Matematische Zeitschrift, Německo, Springer Verlag, 2008, 0025-5874
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
Germany
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 0.734
RIV identification code
RIV/00216224:14310/08:00024798
Organization unit
Faculty of Science
UT WoS
000254261200004
Keywords in English
Kohn-Nirenberg phenomenon; convexifiability; generalized models; pseudoconvexity; finite type
Tags
International impact, Reviewed
Changed: 25/6/2009 15:24, doc. RNDr. Martin Kolář, Ph.D.
In the original language
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.
In Czech
článek dává explicitní ověřitelnou charakterizaci slabě pseudokonvexních, ale nekonvexifikovatelných nadploch v komplexní dimenzi dvě. Hlavním nástrojem jsou zobecněné modelové plochy, které zachycují lokální geometrii jak ve v
Links
| GA201/05/2117, research and development project |
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