Proceedings of the International Conference on Computer Information Systems and Industrial Applications

Variations of Bergman Kernels for Some Explicitly Given Families of Planar Domains

Authors
Y.Y Wang
Corresponding Author
Y.Y Wang
Available Online June 2015.
DOI
10.2991/cisia-15.2015.216How to use a DOI?
Keywords
bergman kernel; plurisubharmonic function; pseudoconvex domain
Abstract

We study the parameter dependence of the Bergman kernels on some planar domains depending on complex parameter? in nontrivial ``pseudoconvex" ways. Smoothly bounded cases are studied at first: Itturns out that, in an example where the domains are discs, the Levi form for the logarithm of the Bergman kernels with respect to ? approaches to ? as the point tends to the complement of a point in the boundary. Further, in contrast to this, in the cases where the boundaries of the domains are nonsmooth, such as discs with slits interesting phenomena isobserved.

Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the International Conference on Computer Information Systems and Industrial Applications
Series
Advances in Computer Science Research
Publication Date
June 2015
ISBN
978-94-62520-72-1
ISSN
2352-538X
DOI
10.2991/cisia-15.2015.216How to use a DOI?
Copyright
© 2015, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Y.Y Wang
PY  - 2015/06
DA  - 2015/06
TI  - Variations of Bergman Kernels for Some Explicitly Given Families of Planar Domains
BT  - Proceedings of the International Conference on Computer Information Systems and Industrial Applications
PB  - Atlantis Press
SP  - 800
EP  - 803
SN  - 2352-538X
UR  - https://doi.org/10.2991/cisia-15.2015.216
DO  - 10.2991/cisia-15.2015.216
ID  - Wang2015/06
ER  -