@inbook{460f329319cf465fbcaa4f483a4f267e,
title = "On Dilations of Fourier Multipliers on Weighted Lebesgue Spaces",
abstract = "For a given p∈(1,∞), we present an example of a Muckenhoupt weight w∈Ap and a Fourier multiplier a on the weighted Lebesgue space Lp(w) such that, for any τ∈ℝ∖{0,1}, the dilation of a given by aτ(ξ)=a(τξ) is not a Fourier multiplier on Lp(w).",
author = "Oleksiy Karlovych and Eugene Shargorodsky",
note = "info:eu-repo/grantAgreement/FCT/Concurso de avalia{\c c}{\~a}o no {\^a}mbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT# Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024. ",
year = "2024",
month = jul,
doi = "10.1007/978-3-031-59397-0_8",
language = "English",
isbn = "978-3-031-59396-3",
series = "Operator Theory: Advances and Applications",
publisher = "Springer",
pages = "109--122",
editor = "Sergei Rogosin",
booktitle = "Analysis without Borders",
address = "Netherlands",
}