势理论中经典核函数汉克尔矩阵的计算

Pub Date : 2020-07-01 DOI:10.4134/JKMS.J190487
Young-Bok Chung
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引用次数: 0

摘要

本文计算了一般有界域的Hardy空间上Hankel算子关于Hardy空间及其正交补的特殊正交基的Hankel矩阵表示。此外,我们还得到了单位圆盘情形下Hankel矩阵关于这些基的紧致形式。可以看出,由该计算生成的Hankel矩阵是单位圆盘从单个单连通域到具有大量基的多重连通域的情况的推广。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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Computation of Hankel matrices in terms of classical kernel functions in potential theory
In this paper, we compute the Hankel matrix representation of the Hankel operator on the Hardy space of a general bounded domain with respect to special orthonormal bases for the Hardy space and its orthogonal complement. Moreover we obtain the compact form of the Hankel matrix for the unit disc case with respect to these bases. One can see that the Hankel matrix generated by this computation turns out to be a generalization of the case of the unit disc from the single simply connected domain to multiply connected domains with much diversities of bases.
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