Sevostyanov Y. The investigation of the space mappings by the geometrical method

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0512U000691

Thesis Registration Form

0512U000691.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

16-10-2012

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis is devoted to the investigation of the space mappings with non-bounded characteristics of quasiconformality. In the work, the series of the properties of the so-called Q -mappings and ring Q-mappings are obtained. The above mappings are subtype of the mappings with finite distortion and include the mappings with bounded distortion by Reshetnyak. In particular, the properties of differentiability and ACL, the analogues of the theorems of Sokhotski-Weierstrass, Liouville, Picard, Iversen etc. are obtained for the above mappings.

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Files

aref.doc

dis.pdf

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