Some new Fourier inequalities for unbounded orthogonal systems in Lorentz–Zygmund spaces

Abstract In this paper we prove some essential complements of the paper (J. Inequal. Appl. 2019:171, 2019) on the same theme. We prove some new Fourier inequalities in the case of the Lorentz–Zygmund function spaces L q , r ( log L ) α $L_{q,r}(\log L)^{\alpha }$ involved and in the case with an unb...

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Bibliographic Details
Main Authors: G. Akishev, D. Lukkassen, L. E. Persson
Format: Article
Language:English
Published: SpringerOpen 2020-03-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-020-02344-6