Volkov S. To the theory of boundary behavior of mappings on Riemann surfaces

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0421U102744

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

30-04-2021

Specialized Academic Board

К 41.051.05

Odessa I. I. Mechnikov National University

Essay

Theorems about continuous extension to the boundary of reverse mappings of homeomorphisms of Sobolev class with integrable dilatation are obtained; the series of integral theorems in terms of dilatation for continuous extension to the boundary of mappings of homeomorphisms of Sobolev class are also obtained; theorems about continuous extension to the boundary of reverse mappings of homeomorphisms with finite length distortion with integrable dilatation are proved.

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