Geodesic
Estimates of the norm of the holomorphic components of functions meromorphic in domains with a~smooth boundary
Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 139-146

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Let $D$ be a Jordan domain with smooth boundary, $f$ a function meromorphic in $D$, and $f^*$ the holomorphic component of $f$ in $D$. It is shown that $\|f^*\|_{\partial D}\leqslant C(D)n\|f\|_{\partial D}$, where $n$ is the number of poles of $f$ in $D$. Bibliography: 8 titles. 
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     author = {L. D. Grigoryan},
     title = {Estimates of the norm of the holomorphic components of functions meromorphic in domains with a~smooth boundary},
     journal = {Sbornik. Mathematics},
     pages = {139--146},
     publisher = {mathdoc},
     volume = {29},
     number = {1},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1976_29_1_a10/}
}
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L. D. Grigoryan. Estimates of the norm of the holomorphic components of functions meromorphic in domains with a~smooth boundary. Sbornik. Mathematics, Tome 29 (1976) no. 1, pp. 139-146. http://geodesic.mathdoc.fr/item/SM_1976_29_1_a10/