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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/5360857 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |