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Fecha
2022-09-01
Derechos de acceso
info:eu-repo/semantics/openAccess
Título de la revista
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Título del volumen
Editorial
Cambridge University Press
Citas
Resumen
We prove stronger variants of a multiplier theorem of Kislyakov. The key ingredients are based on ideas of Kislaykov and the Kahane–Salem–Zygmund inequality. As a by-product we show various multiplier theorems for spaces of trigonometric polynomials on the n-dimensional torus Tn or Boolean cubes {−1, 1}N. Our more abstract approach based on local Banach space theory has the advantage that it allows to consider more general compact abelian groups instead of only the multidimensional torus. As an application we show that various recent ℓ1-multiplier theorems for trigonometric polynomials in several variables or ordinary Dirichlet series may be proved without the Kahane–Salem–Zygmund inequality.
Descripción
This is the Accepted Manuscript of an article published by Cambridge University Press in "Journal of the Institute of Mathematics of Jussieu, 23, 2022", available online: https://doi.org/10.1017/S1474748022000391
Este es el manuscrito aceptado de un artículo publicado por Cambridge University Press en " Journal of the Institute of Mathematics of Jussieu, 23, 2022", disponible en línea: https://doi.org/10.1017/S1474748022000391
Este es el manuscrito aceptado de un artículo publicado por Cambridge University Press en " Journal of the Institute of Mathematics of Jussieu, 23, 2022", disponible en línea: https://doi.org/10.1017/S1474748022000391
Categorías UNESCO
Palabras clave
Fourier analysis on groups, multipliers, Sidon sets, Boolean functions, multivariable and Dirichlet polynomials
Citación
Defant, A., Mastyło, M., Pérez-Hernández, A. (2024). Variants of a Multiplier Theorem of Kislyakov. Journal of the Institute of Mathematics of Jussieu, 23(1), 347–377. URL: https://doi.org/10.1017/S1474748022000391
Centro
Escuela Técnica Superior de Ingenieros Industriales
Departamento
Matemática Aplicada I