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

Olli Tapiola. "Adjacent dyadic systems and the $L^{p}$-boundedness of shift operators in metric spaces revisited." Colloquium Mathematicae 145.1 (2016): 121-135. <http://eudml.org/doc/286538>.

@article{OlliTapiola2016,
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.},
author = {Olli Tapiola},
journal = {Colloquium Mathematicae},
keywords = {metric space; adjacent dyadic systems; shift operator; UMD},
language = {eng},
number = {1},
pages = {121-135},
title = {Adjacent dyadic systems and the $L^\{p\}$-boundedness of shift operators in metric spaces revisited},
url = {http://eudml.org/doc/286538},
volume = {145},
year = {2016},
}

TY - JOUR
AU - Olli Tapiola
TI - Adjacent dyadic systems and the $L^{p}$-boundedness of shift operators in metric spaces revisited
JO - Colloquium Mathematicae
PY - 2016
VL - 145
IS - 1
SP - 121
EP - 135
AB - 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.
LA - eng
KW - metric space; adjacent dyadic systems; shift operator; UMD
UR - http://eudml.org/doc/286538
ER -