Inequalities for the Fourier coefficients in unbounded orthogonal systems in generalized Lorentz spaces

Gabdolla Akishev; Lars--Erik Persson; Harpal Singh

Gabdolla Akishev L.N.Gumilyov Eurasian National University, Satbaev Street 2, Nur-Sultan, 010008, Republic Kazakhstan
Lars--Erik Persson UIT The Arctic University of Norway, Karlstad University, Sweden.
Harpal Singh UIT The Arctic University of Norway, Narvik, Norway.

Abstract

This paper is an essential complement of the research recently presented in [1], [2]. A number of classical Fourier inequalities related to Fourier coefficients with respect to unbounded orthogonal systems are generalized and complemented. All results are given in the case of generalized
Lorentz spaces.