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
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
