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

Akishev G. Persson L.-E. Singh H.
2021 Cambridge Scientific Publishers

Nonlinear Studies
2021 #27 Issue 4 1137 - 1155 pp.

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.

Fourier coefficients , Fourier series , Inequalities , Lorentz spaces , unbounded orthogonal systems

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Department of Fundamental Mathematics, L.N.Gumilyov Eurasian National University, Satbaev Street 2, Nur-Sultan, 010008, Kazakhstan
Department of Computer Science and Computational Engineering, Campus Narvik, UIT The Arctic University of Norway, Narvik, Norway
Department of Mathematics and Computer Science, Karlstad University, Sweden
Institute of Mathematics and Computer Science, Ural Federal University, Yekaterinburg, 620002, Russian Federation

Department of Fundamental Mathematics
Department of Computer Science and Computational Engineering
Department of Mathematics and Computer Science
Institute of Mathematics and Computer Science

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