Geodesic
On estimates of the norm of the holomorphic component of a~meromorphic function
Sbornik. Mathematics, Tome 28 (1976) no. 4, pp. 571-575

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For an arbitrary simply connected domain $D$, an estimate is obtained for the norm of the holomorphic component of a meromorphic function having a given number of poles in $D$. The estimate is uniform with respect to $D$. Bibliography: 4 titles. 
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     author = {A. A. Gonchar and L. D. Grigoryan},
     title = {On estimates of the norm of the holomorphic component of a~meromorphic function},
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A. A. Gonchar; L. D. Grigoryan. On estimates of the norm of the holomorphic component of a~meromorphic function. Sbornik. Mathematics, Tome 28 (1976) no. 4, pp. 571-575. http://geodesic.mathdoc.fr/item/SM_1976_28_4_a9/