Geodesic
Monotonicity of generalized reduced module
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 17, Tome 276 (2001), pp. 219-236 
L. V. Kovalev. Monotonicity of generalized reduced module. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 17, Tome 276 (2001), pp. 219-236. http://geodesic.mathdoc.fr/item/ZNSL_2001_276_a9/
@article{ZNSL_2001_276_a9,
     author = {L. V. Kovalev},
     title = {Monotonicity of generalized reduced module},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {219--236},
     year = {2001},
     volume = {276},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_276_a9/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

In terms of polar sets, we complement some Dubinin's inequalities expressing the monotonicity of the generalized reduced module for open subsets of $\mathbb C_n$ and $\mathbb R_n$ by equality cases. These results are applied to extremal problems of geometric function theory.