A METRIC INDUCED BY THE BERGMAN KERNEL
نویسندگان
چکیده
منابع مشابه
The Stability of the Bergman Kernel and the Geometry of the Bergman Metric
If D is a bounded open subset of C", the set H = {ƒ: D —> C| ƒ is holomorphic and SD\f\ 2 < +°°} is a separable infinite-dimensional Hubert space relative to the inner product <ƒ, g) = fDfg. The completeness of H can be seen from Cauchy integral estimates. Similar estimates show that for any p E D the functional ƒ H* ƒ(/?),ƒ£ H, is continuous. Thus there is a unique element KD(z, p) E f/ (as a ...
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ژورنال
عنوان ژورنال: Honam Mathematical Journal
سال: 2014
ISSN: 1225-293X
DOI: 10.5831/hmj.2014.36.4.853