Malyutina T. Growth of subharmonic functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U002310

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

01-09-2000

Specialized Academic Board

K 64.051.11

Essay

Object of research:subharmonic functions of the finite order. Goal of research: study of properties of p-subadditive functions and their use in the theory of growth of subharmonic functions; study of special integrals of subharmonic functions and their connections with indicators; asymptotic expansions of integrals with the special kernels. Methods of research: the methods of theory of measure and subharmonic functions, of theory of subadditive functions were received. New theoretical results:properties of p-sudadditive functions were investigated; the values of integrals of subharmonic functions were obtained. The class of irregularly growth functions with certain asymptotics was constructed.

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