The Bergman kernel and projection on non-smooth worm domains

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This paper provides a precise asymptotic expansion for the Bergman kernel on the non-smooth worm domains of Christer Kiselman in complex 2-space. Applications are given to the failure of Condition R, to deviant boundary behavior of the kernel, and to L^p mapping properties of the kernel.

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Complex Variables, Analysis of PDEs, 32A25, 32A36

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http://salesiana.dossiersoluciones.com/handle/123456789/132437

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3708
 http://arxiv.org/abs/0706.3708

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arXiv