Sevost’yanov E. To the theory of convergence of space mappings with finite length distortion

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U000874

Thesis Registration Form

0406U000874.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

22-02-2006

Specialized Academic Board

К 11.193.02

Essay

The dissertation is devoted to topological aspects of the theory of space mappings with finite distortion which are actively studied during the last years by many leading experts in the function theory. The main objects of the dissertation are mappings with finite length distortion and the so–called ring Q–homeomorphisms. Under the study of the given mapping classes it is used the modulus techniques and the theory of functions with finite mean oscillation. It is proved a series of new theorems on convergence, normality and compactness.

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