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

Authors

  • L.N.Gumilyov Eurasian National University, Satbaev Street 2, Nur-Sultan, 010008, Republic Kazakhstan
  • UIT The Arctic University of Norway, Karlstad University, Sweden.
  • 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.

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Published

2020-11-24

Issue

Vol. 27 No. 4 (2020): Nonlinear Studies (NS)

Section

Articles

How to Cite

Inequalities for the Fourier coefficients in unbounded orthogonal systems in generalized Lorentz spaces. (2020). Nonlinear Studies, 27(4). https://nonlinearstudies.com/index.php/nonlinear/article/view/2404