Chouigui A. Distributions in the theory of subharmonic functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U005760

Thesis Registration Form

0408U005760.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

26-12-2008

Specialized Academic Board

К64.051.11

Essay

The condition on a measure that guarantees a convergence in the Lebesgue spaces of a sequence of subharmonic functions converging as a distributions is established . For a half-plane is сonsidered more general case of measures. The supports of these measures are not compact imbedded in the domain. It is completely described the set I(z) that is the set of value of the function u(z) for the fix point z when u passes the limit set of a subharmonic function v and it is described Azarin's limit sets of extremal non-regular subharmonic functions.

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Files

aref.pdf

dis.pdf

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