Normal domains and removable singularities

V. A. Shlyk

Izvestiya. Mathematics , Tome 43 (1994) no. 1, pp. 83-104.

Résumé

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.

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