Bakhtin O. Extremal problems and quadratic differentials in geometric theory of complex variable functions

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0507U000287

Thesis Registration Form

0507U000287.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

24-04-2007

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

For development of new methods for some extremal problems solution in the geometric theory of complex variable functions. Are investigated new extremal problems on non-overlapping domains and open sets, which are concerned with obtaining of best possible upper estimates for some functionals connected with inner radii of a domain. Method of "control" functionals is developed. Some classical results are essential generalized. Particular case of Duren hypothesis solution and Fekete generalized problem solution are obtained.

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Files

Aref.pdf

Disertacia.pdf

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