Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3

Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3

Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the boundary of Ω. Then we get optimal estimates of the Bergman kernel function along some “almost tangential curve” Cb(z0,δ0)⊂Ω∪z0.

Bibliographic Details
Main Author: Sanghyun Cho
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2018/5360857
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spelling doaj-6f15977d9c2e458093329069d71564872020-11-24T20:50:19ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/53608575360857Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3Sanghyun Cho0Department of Mathematics, Sogang University, Seoul 04107, Republic of KoreaLet Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the boundary of Ω. Then we get optimal estimates of the Bergman kernel function along some “almost tangential curve” Cb(z0,δ0)⊂Ω∪z0.http://dx.doi.org/10.1155/2018/5360857
collection DOAJ
language English
format Article
sources DOAJ
author Sanghyun Cho
spellingShingle Sanghyun Cho
Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
Abstract and Applied Analysis
author_facet Sanghyun Cho
author_sort Sanghyun Cho
title Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
title_short Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
title_full Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
title_fullStr Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
title_full_unstemmed Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3
title_sort estimates on the bergman kernels in a tangential direction on pseudoconvex domains in c3
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2018-01-01
description Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)<∞ where z0∈bΩ, the boundary of Ω. Then we get optimal estimates of the Bergman kernel function along some “almost tangential curve” Cb(z0,δ0)⊂Ω∪z0.
url http://dx.doi.org/10.1155/2018/5360857
work_keys_str_mv AT sanghyuncho estimatesonthebergmankernelsinatangentialdirectiononpseudoconvexdomainsinc3
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