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Mathematical Notes

, Volume 84, Issue 5–6, pp 751–755 | Cite as

Majorization principles for meromorphic functions

  • V. N. Dubinin
Article

Abstract

Supplements to the Lindelöf principle on the behavior of Green’s function and the Nevanlinna principle on the behavior of the harmonic measure under meromorphic maps are proposed; these supplements go back to Mityuk’s work on the change of the inner radius of a domain under the action of regular functions.

Key words

Lindelöf principle Nevanlinna majorization principle meromorphic function harmonic measure Green’s function subharmonic function 

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References

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Copyright information

© Pleiades Publishing, Ltd. 2008

Authors and Affiliations

  1. 1.Institute of Applied Mathematics, Far-East DivisionRussian Academy of SciencesMoscowRussia

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