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. |
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| 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] |
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| Database: | Engineering Source |
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| 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] |
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| ISSN: | 10853375 |
| DOI: | 10.1155/2018/5360857 |
