Article

    Ufa Mathematical Journal
    Volume 9, Number 1, pp. 3-17

    Conformal mappings of circular domains on finitely-connected non-Smirnov type domains


    Avkhadiev F.G., Shabalin P.L.

    DOI:10.13108/2017-9-1-3

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    We consider a canonical factorization and integral representation for the derivatives of conformal mappings of circular domains on finitely-connected non-Smirnov type domains. By means of the functions in the Zygmund class, we obtain the conditions of global one-sheeted property. Earlier similar results were obtained by a series of authors just for simply-connected domains.