Adjacent dyadic systems and the L^p-boundedness of shift operators in metric spaces revisited

2015/04/07 by Olli Tapiola, Tapiola, Olli
Mathematics · #30L99 #46E40 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fixed Point Theorems Analysis #Meromorphic and Entire Functions #math.CA #msc:30L99 #msc:46E40

paper · pdf · doi:10.48550/arxiv.1504.01596

11 pages. v2: introduction updated, some typos corrected

openalex publication_date 2015/04/07 · arxiv created 2015/12/07 · arxiv updated 2015/12/08 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

With the help of recent adjacent dyadic constructions by Hytönen and the author, we give an alternative proof of results of Lechner, Müller and Passenbrunner about the L^p-boundedness of shift operators acting on functions f ∈ L^p(X;E) where 1 < p < ∞, X is a metric space and E is a UMD space.

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