Adjacent dyadic systems and the Lp-boundedness of shift operators in metric spaces revisited
Olli Tapiola
Colloquium Mathematicae, Tome 144 (2016), p. 121-135 / Harvested from The Polish Digital Mathematics Library
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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 Lp-boundedness of shift operators acting on functions f∈Lp(X;E) where 1 < p < ∞, X is a metric space and E is a UMD space.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286538 
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Olli Tapiola. Adjacent dyadic systems and the $L^{p}$-boundedness of shift operators in metric spaces revisited. Colloquium Mathematicae, Tome 144 (2016) pp. 121-135. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6594-11-2015/