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Eurasian Mathematical Journal, 2022, Volume 13, Number 4, Pages 82–87
DOI: https://doi.org/10.32523/2077-9879-2022-13-4-82-87 (Mi emj456) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Multipliers of Fourier–Haar series in Lorentz spaces

N. T. Tleukhanova, A. N. Bashirova

Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 13 Kazhymukan Munaitpasov St, Z01C0X0 Astana, Kazakhstan
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DOI: https://doi.org/10.32523/2077-9879-2022-13-4-82-87
Abstract: This article provides a complete description of the multipliers of the Fourier series along the Haar system in the Lorentz spaces $L_{p,r}$. Necessary and sufficient conditions are obtained ensuring that $\{\lambda_k^j\}_{k=0,j=1}^{\infty,2^k}\in m(L_{p,r}\to L_{q,s})$. This work generalizes and supplements the result of work [8].
Keywords and phrases: Fourier series, Haar system, Fourier series multipliers, Lorentz spaces.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP14870361
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (Grant AP14870361).
Received: 01.08.2020
Bibliographic databases:
Document Type: Article
MSC: 42B05, 46E30
Language: English
Citation: N. T. Tleukhanova, A. N. Bashirova, “Multipliers of Fourier–Haar series in Lorentz spaces”, Eurasian Math. J., 13:4 (2022), 82–87
Citation in format AMSBIB
\Bibitem{TleSha22}
\by N.~T.~Tleukhanova, A.~N.~Bashirova
\paper Multipliers of Fourier--Haar series in Lorentz spaces
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 4
\pages 82--87
\mathnet{http://mi.mathnet.ru/emj456}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-4-82-87}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4537113}
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