Ochakovska O. On the theory of measure-preserving transformations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U001203

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

10-03-2005

Specialized Academic Board

К 11.193.02

Essay

The thesis are devoted to investigations of measure- preserving transformations and related problems for functions with zero integrals over all balls of fixed radius. For a broad class of domains, the precise conditions under which a given homeomorphism with (N) – property is a measure-preserving transformation have been obtained. A number of uniqueness theorems for some classes of functions with zero integrals over all balls of fixed radius are obtained. Some related problems on hyperbolic plane are investigated.

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