Title of article
On bases of trigonometric systems in Hardy-Orlicz spaces and Riesz theorem
Author/Authors
Bilalov, Bilal T. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Alizade, Fidan A. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan , Rasulov, Murad F. High school student, Baku, Azerbaijan
Pages
11
From page
46
To page
56
Abstract
In this article, problems of basicity of classical trigonometric systems in Orlicz spaces are considered.
Hardy-Orlicz classes corresponding to a unit ball on the complex plane are defined. An analog
of the classical Riesz theorem of the theory of analytic functions for Hardy-Orlicz classes is considered.
The validity of Cauchy formula for functions from these classes is established
Keywords
Orlicz space , basicity , Hardy-Orlicz classes , Riesz and Smirnov theorems , Cauchy formula
Journal title
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
Serial Year
2019
Full Text URL
Record number
2611888
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