Piddubny O. Hardy-Littlewood type theorems and approximative properties of generalized Abel-Poisson operator

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0414U000399

Thesis Registration Form

0414U000399.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

25-02-2014

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The work is devoted to the study of boundary behavior of derivatives of analytic and harmonic functions in the canonical domains of the complex plane and approximative properties of Abel-Poisson operators. Thus the main focus on the following issues: 1) how to relate to each other in classes of analytic circle D functions which have certain restrictions on the growth of higher-order derivatives at the approach to the limit circle and synthesis Lipschitz classes; 2) that differential and approximative properties of generalized Abel-Poisson operator.

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Files

Dis.pdf

aref.docx

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