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

• Autorzy: Olli Tapiola
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions
• 30L99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 145
• Numer: 1
• Strony: 121-135

Daty

wydano

2016

Twórcy

autor

Olli Tapiola

• Department of Mathematics and Statistics, P.O. Box 68 (Gustaf Hällströmin katu 2b), FI-00014 University of Helsinki, Finland

Identyfikatory

DOI

10.4064/cm6594-11-2015