Targonskii A. Extremal problems of the univalent theory functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U002325

Thesis Registration Form

0406U002325.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

16-05-2006

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We study the maximization problem for given positive powers of the inner radii of disjoint domains with respect to some systems of points inside them. Some of these points are constant and other ones are not fixed. Systems of points with uniformly distributed arguments of not fixed points are of particular interest. In terms of quadratic differentials, we give complete description of extremal configurations in the problems under consideration. Some other problems on disjoint domains are also investigated.

Read more

Files

AREF.pdf

vsyadiser5.pdf

Similar theses

0524U000127

Andrii O. Kuryliak

Asymptotic properties and value distribution of random analytic functions.

0821U101801

Petrova Iryna Leonidivna

"Interpolatory estimates for comonotone approximation

0421U102744

Volkov Sergiy V

To the theory of boundary behavior of mappings on Riemann surfaces

0421U102723

Petkov Ihor Vasylovich

The boundary behavior of solutions and the Dirichlet problem for the Beltrami equations

0421U102684

Holubchak Oleh Mykhailovych

Operators on Hilbert spaces of symmetric analytic functions on a Banach space with a symmetric structure.