Advances in Analysis

On Basicity of the System of Exponents with Linear Phase in Morrey-Lebesgue Space

Download PDF (516.9 KB) PP. 113 - 120 Pub. Date: April 5, 2018

DOI: 10.22606/aan.2018.32005

Author(s)

Telman Gasymov^*
Institute of Mathematics and Mechanics of NAS of Azerbaijan Az1141, B.Vahabzade 9, Baku
Aida Quliyeva
Institute of Mathematics and Mechanics of NAS of Azerbaijan Az1141, B.Vahabzade 9, Baku

Abstract

This work considers the Riemann boundary value problem with the piecewise continuous coefficient in Morrey-Hardy classes. Under some conditions on the coefficient, the Fredholmness of this problem is studied and the general solution of homogeneous and non-homogeneous problems in Morrey-Hardy classes is constructed. The obtained results are applied to the study of basis properties of the system of exponents with a piecewise linear phase in Morrey-Lebesgue space.

Keywords

Morrey-Hardy classes, Riemann problem, bases, double system of exponent.

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