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About n-harmonic radius in the n-dimensional Euclidean space
时间  Datetime
2017-09-05 14:00 — 15:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
Elena Prilepkina
单位  Affiliation
Far Eastern Federal University, Russia
邀请人  Host
Kalmykov Sergei
报告摘要  Abstract

We extend classical results by Lavrentiev and Dubinin concerning the product of the conformal radii of planar non-overlapping domains to the case of domains in the n-dimensional Euclidean space. The proofs are based on technique of moduli of curve families and symmetrization of such families. The symmetrization with respect to hypersphere is applied to prove monotonicity of n-harmonic radius. In addition, the distortion theorem for quasiregular mappings is obtained.