Malaksiano M. The extremal properties of the Gehring and Muckenhoupt function classes

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U002061

Thesis Registration Form

0403U002061.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

06-06-2003

Specialized Academic Board

К 41.051.05

Essay

The sharp bounds of exponents, for which inclusions of Muckenhoupt classes in Gehring classes are valid, are obtained for the one-dimensional case. The reverse inclusion is obtained as well. A new method is introduced which is based on a comparison of a monotone function with a power function. The necessary and sufficient condition for the monotone external function is found such that the superposition with an arbitrary function from one fixed Muckenhoupt (Gehring) class belongs to the other fixed Muckenhoupt (Gehring) class. The analogous questions for the limiting cases of Gehring and Muckenhoupt classes are considered as well

Read more

Files

aref.doc

dis0.doc

dis1.doc

dis2.doc

dis3.doc

dis4.doc

dis5.doc

dis6.doc

dis7.doc

dis8.doc

dis9.doc

Similar theses

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.

0521U101474

Kaliuzhnyi-Verbovetskyi Dmytro S.

Foundations of the theory of free noncommutative functions and some it is applications in algebra and analysis