Relationship Between an Atomic Decomposition of Double and Unary Systems in Grand-Lebesgue Spaces-Reference-Cited by-同舟云学术

Relationship Between an Atomic Decomposition of Double and Unary Systems in Grand-Lebesgue Spaces

Published:2020-03-14 Issue: Volume:19 Page:50-56
ISSN:1109-2769
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Guliyeva Fatima¹

Affiliation:

1. Institute of Mathematics and Mechanics of NAS of Azerbaijan, AZ1141, 9, B.Vahabzade Str., Baku, AZERBAIJAN

Abstract

The grand-Lebesgue space is defined. Based on the shift operator, a separable subspace is determined in which continuous functions are dense. The concepts of frame and atomic decomposition are defined. An atomic decomposition of double and unary systems of functions in grand-Lebesgue spaces is considered. Relationship between atomic decomposition of these systems in grand-Lebesgue spaces is established

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

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