This article is cited in 4 papers

Short communications

On trigonometric Fourier series multipliers in $\lambda_{p,q}$ spaces

N. T. Tleukhanova, A. Bakhyt

Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 13 Munaitpasov St, 010008 Nur-Sultan, Kazakhstan

Abstract: In this paper, we investigate the problem of trigonometric multipliers in the sequence spaces $\lambda_{p,q}$. Embedding theorems of the Lorentz and Besov spaces into the space of trigonometric Fourier series multipliers are formulated.

Keywords and phrases: trigonometric Fourier coefficients, Lorentz and Besov spaces, $M_{p_0,q_0}^{p_1,q_1}$ spaces.

MSC: 42A16, 46E30, 47B37, 28A05

Received: 29.11.2019

Language: English

DOI: 10.32523/2077-9879-2021-12-1-103-106

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