Karlovych, OleksiyShargorodsky, Eugene2024-10-282024-07978-3-031-59396-3978-3-031-59397-00255-0156PURE: 98897846PURE UUID: 460f3293-19cf-465f-bcaa-4f483a4f267eScopus: 85201424558http://hdl.handle.net/10362/174179Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.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).14229328engAnalysisbook part10.1007/978-3-031-59397-0_8https://www.scopus.com/pages/publications/85201424558