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

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Title: Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3.
Authors: Cho, Sanghyun1
Source: Abstract & Applied Analysis. 7/18/2018, p1-13. 13p.
Subjects: Bergman kernel functions, Tangential coordinates, Pseudoconvex domains, Holomorphic functions, Plurisubharmonic functions
Abstract: 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. [ABSTRACT FROM AUTHOR]
Copyright of Abstract & Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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PubType: Academic Journal
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  Data: Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3.
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  Data: Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)&lt;∞ 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. [ABSTRACT FROM AUTHOR]
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  Data: &lt;i&gt;Copyright of Abstract &amp; Applied Analysis is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1155/2018/5360857
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 1
    Subjects:
      – SubjectFull: Bergman kernel functions
        Type: general
      – SubjectFull: Tangential coordinates
        Type: general
      – SubjectFull: Pseudoconvex domains
        Type: general
      – SubjectFull: Holomorphic functions
        Type: general
      – SubjectFull: Plurisubharmonic functions
        Type: general
    Titles:
      – TitleFull: Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3.
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            NameFull: Cho, Sanghyun
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          Dates:
            – D: 18
              M: 07
              Text: 7/18/2018
              Type: published
              Y: 2018
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              Value: 10853375
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            – TitleFull: Abstract & Applied Analysis
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