Adjacent dyadic systems and the $L^p$-boundedness of shift operators in metric spaces revisited
Tom 145 / 2016
Colloquium Mathematicum 145 (2016), 121-135 MSC: Primary 30L99; Secondary 46E40. DOI: 10.4064/cm6594-11-2015 Opublikowany online: 2 May 2016
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 $f \in L^p(X;E)$ where $1 \lt p \lt \infty $, $X$ is a metric space and $E$ is a UMD space.