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arXiv · 1504.01596

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

Olli Tapiola
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Abstract

With the help of recent adjacent dyadic constructions by Hyt\"onen and the author, we give an alternative proof of results of Lechner, M\"uller and Passenbrunner about the $L^p$-boundedness of shift operators acting on functions $f \in L^p(X;E)$ where $1 < p < \infty$, $X$ is a metric space and $E$ is a UMD space.

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Olli Tapiola. 2015-04-07. Adjacent dyadic systems and the $L^p$-boundedness of shift operators in metric spaces revisited. https://arxiv.org/abs/1504.01596

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