Geodesic
A~constructive description of spaces of functions analytic in a~multiconnected domain and continuous in its closure
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 314-316

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The space $H_\omega(D)$ of functions analytic in a multiconnected domain $D$ with the prescribed majorant $\omega$ of the continuity modules is described in terms of the polynomial approximation. 
@article{ZNSL_1979_92_a27,
     author = {N. A. Shirokov},
     title = {A~constructive description of spaces of functions analytic in a~multiconnected domain and continuous in its closure},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {314--316},
     publisher = {mathdoc},
     volume = {92},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a27/}
}
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N. A. Shirokov. A~constructive description of spaces of functions analytic in a~multiconnected domain and continuous in its closure. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part IX, Tome 92 (1979), pp. 314-316. http://geodesic.mathdoc.fr/item/ZNSL_1979_92_a27/