A Littlewood-Paley-Stein estimate on graphs and groups

@article{NickDungey2008,
abstract = {We establish the boundedness in $L^\{q\}$ spaces, 1 < q ≤ 2, of a “vertical” Littlewood-Paley-Stein operator associated with a reversible random walk on a graph. This result extends to certain non-reversible random walks, including centered random walks on any finitely generated discrete group.},
author = {Nick Dungey},
journal = {Studia Mathematica},
keywords = {Littlewood-Paley-Stein square function; random walks; graphs.},
language = {eng},
number = {2},
pages = {113-129},
title = {A Littlewood-Paley-Stein estimate on graphs and groups},
url = {http://eudml.org/doc/285078},
volume = {189},
year = {2008},
}

TY - JOUR
AU - Nick Dungey
TI - A Littlewood-Paley-Stein estimate on graphs and groups
JO - Studia Mathematica
PY - 2008
VL - 189
IS - 2
SP - 113
EP - 129
AB - We establish the boundedness in $L^{q}$ spaces, 1 < q ≤ 2, of a “vertical” Littlewood-Paley-Stein operator associated with a reversible random walk on a graph. This result extends to certain non-reversible random walks, including centered random walks on any finitely generated discrete group.
LA - eng
KW - Littlewood-Paley-Stein square function; random walks; graphs.
UR - http://eudml.org/doc/285078
ER -