空间L_p^1(D)$的紧集生成正规域和可移动奇异点的结构

Mathematics of The Ussr-sbornik Pub Date : 1992-02-28 DOI:10.1070/SM1992V071N02ABEH002134

V. Shlyk

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引用次数: 4

摘要

研究了()中-正规域的性质，在Koebe意义上是最小的，在Grotzsch意义上是正规的。利用随因理论和维bi-Lipschitz -紧集理论，给出了空间和紧集生成-正规域的可移动奇点的描述。

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THE STRUCTURE OF COMPACT SETS GENERATING NORMAL DOMAINS, AND REMOVABLE SINGULARITIES FOR THE SPACE $ L_p^1(D)$

A study is made of the properties of -normal domains in (), which will be minimal in the Koebe sense or normal in the Grotzsch sense when . Descriptions are obtained of removable singularities for the space and for compact sets generating -normal domains, in terms of the theory of contingencies and -dimensional bi-Lipschitz -compact sets.

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Mathematics of The Ussr-sbornik

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