Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

Abstract A number of classical inequalities and convergence results related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of Lorentz–Zygmund spaces.

Bibliographic Details
Main Authors: G. Akishev, L. E. Persson, A. Seger
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2117-4