Geodesic
On estimate of the norm of the holomorphic component of a~meromorphic function in finitely connected domains
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 123-137

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In this paper we extend Gonchar–Grigorjan type estimate of the norm of holomorphic part of meromorphic functions in finitely connected Jordan domains with $C^2$ smooth boundary when the poles are in a compact set. A uniform estimate for Cauchy type integral is also given. 
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     author = {S. Kalmykov and B. Nagy},
     title = {On estimate of the norm of the holomorphic component of a~meromorphic function in finitely connected domains},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a8/}
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S. Kalmykov; B. Nagy. On estimate of the norm of the holomorphic component of a~meromorphic function in finitely connected domains. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 123-137. http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a8/