2018/08/16 by Izabella Łaba, Laba, Izabella
Computer Science · Mathematics · Physics and Astronomy · #28A80 #42B25 #Advanced Mathematical Modeling in Engineering #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1808.05657
openalex publication_date 2018/08/16 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
For 2≤ p2/p, and δ>0, we construct Cantor-type measures on ℝ supported on sets of Hausdorff dimension α0, and have no Fourier decay. The proof is based on a decoupling inequality similar to that of Laba and Wang.