The Aizenberg formula in nonconvex domains and some of its applications

被引:0
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作者
Rotkevich A. [1 ]
机构
[1] St. Petersburg State University, St. Petersburg
关键词
Holomorphic Function; Integral Representation; Special Class; Nonconvex Domain;
D O I
10.1007/s10958-012-0774-7
中图分类号
学科分类号
摘要
The paper concerns the operator determined by the kernel of the Aizenberg integral representation for holomorphic functions. A special class of domains such that this operator acts from C ∞ (∂Ω) to H ∞ (Ω) is introduced. An example of a nonconvex domain that belongs to this class described. Bibliography: 4 titles. © 2012 Springer Science+Business Media, Inc.
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页码:699 / 713
页数:14
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