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/).
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 -