This article is cited in 4 papers

Normal domains and removable singularities

V. A. Shlyk


Abstract: A solution is presented for the Koebe problem of characterizing compacta that generate minimal domains. This, in turn, makes it possible to describe the zero-sets for the class of regular functions with bounded Dirichlet integrals, and for its generalization in the Rodin–Sario–Hedberg sense as removable sets in the corresponding modulus problem.

UDC: 517.5+517.54

MSC: Primary 31B15; Secondary 30C15, 30C65

Received: 19.04.1991

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1994, 43:1, 83–104

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