Olefir E. Integral estimates of norm of resolvents and unconditional bases generated by systems of Muckenhoupt weights

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U000159

Thesis Registration Form

0403U000159.pdf

Applicant for

Olefir Elena I.

Specialization

01.01.01 - Математичний аналіз

Date of defense

27-12-2002

Specialized Academic Board

К 64.051.11

V.N. Karazin Kharkiv National University

Essay

In the thesis we investigate the basis properties of function families constructed according to a given system A2-Muckenhoupt weights with the help of the canonical procepure. Solutions of the problems considered in the thesis are based on integral estimates of the resilvent norm of finite-dimensional perturbations of the integral operator. These estimates are obtained for the first time.

Thesis supervisor

Gubreyev Gennadyy M.

Official opponents

Золотарьов Володимир ОлексіЙовия
Маламуд Марко Михайлович

Files

aref.doc

dis1.doc

dis2.doc

dis3.doc

dis4.doc

dis5.doc

dis6.doc

dis7.doc

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