Kholomenyuk V. Independent random variables and subspaces of spaces of measurable functions

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U002382

Thesis Registration Form

0412U002382.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

20-04-2012

Specialized Academic Board

К76.051.02

Essay

The thesis is devoted to the investigation of asymptotic behavior of the constants in the generalized Khintchine inequality for the sequemces of independent random variables with zero mean in L_p spaces, establishment of the conditions of equivalence of the sequences of two-valued independent random variables with zero mean in L_p spaces and their block basises to the standard basis of l_q spaces, analysis of the properties of antiproximinal sets in L_1 space and establishment of the dependencies between Maharam sets for the spaces with measure at which isomorphic Kothe F -spaces are set.

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Files

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