Geodesic
On the preservation of conformal capacity under meromorphic functions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 67-73

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It is proved that a meromorphic function that preserves the capacity of a plane condenser is univalent in the field of the condenser. 
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     author = {V. N. Dubinin},
     title = {On the preservation of conformal capacity under meromorphic functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
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     volume = {392},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_392_a2/}
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V. N. Dubinin. On the preservation of conformal capacity under meromorphic functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 67-73. http://geodesic.mathdoc.fr/item/ZNSL_2011_392_a2/