Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces

Akishev, G.; Persson, L. E.; Seger, A.

doi:10.1186/s13660-019-2117-4

Please use this identifier to cite or link to this item: https://elar.urfu.ru/handle/10995/75447

Title:	Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces
Authors:	Akishev, G. Persson, L. E. Seger, A.
Issue Date:	2019
Publisher:	Springer International Publishing
Citation:	Akishev G. Some Fourier inequalities for orthogonal systems in Lorentz–Zygmund spaces / G. Akishev, L. E. Persson, A. Seger // Journal of Inequalities and Applications. — 2019. — Vol. 2019. — 171.
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. © 2019, The Author(s).
Keywords:	FOURIER COEFFICIENTS FOURIER SERIES INEQUALITIES LORENTZ–ZYGMUND SPACES UNBOUNDED ORTHOGONAL SYSTEMS
URI:	http://elar.urfu.ru/handle/10995/75447
Access:	info:eu-repo/semantics/openAccess
SCOPUS ID:	85067335787
WOS ID:	000471602100003
PURE ID:	10013436
ISSN:	1025-5834
DOI:	10.1186/s13660-019-2117-4
Sponsorship:	We thank the referees and Professors Dag Lukkasson and Annette Meidell for some good advice which improved the final version of the paper. Moreover, the first author is grateful for the support of this work given by the Russian Academic Excellence Project (agreement no. 02.A03.21.0006 of August 27, 2013, between the Ministry of Education and Science of the Russian Federation and Ural Federal University).
Appears in Collections:	Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC

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