A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree

Michael G. Cowling, Stefano Meda, and Alberto G. Setti. "A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree." Colloquium Mathematicae 118.1 (2010): 223-232. <http://eudml.org/doc/283651>.

@article{MichaelG2010,
abstract = {We give a simple proof of a result of R. Rochberg and M. H. Taibleson that various maximal operators on a homogeneous tree, including the Hardy-Littlewood and spherical maximal operators, are of weak type (1,1). This result extends to corresponding maximal operators on a transitive group of isometries of the tree, and in particular for (nonabelian finitely generated) free groups.},
author = {Michael G. Cowling, Stefano Meda, Alberto G. Setti},
journal = {Colloquium Mathematicae},
keywords = {homogeneous tree; convolution operators; maximal operators; weak type},
language = {eng},
number = {1},
pages = {223-232},
title = {A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree},
url = {http://eudml.org/doc/283651},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Michael G. Cowling
AU - Stefano Meda
AU - Alberto G. Setti
TI - A weak type (1,1) estimate for a maximal operator on a group of isometries of a homogeneous tree
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 1
SP - 223
EP - 232
AB - We give a simple proof of a result of R. Rochberg and M. H. Taibleson that various maximal operators on a homogeneous tree, including the Hardy-Littlewood and spherical maximal operators, are of weak type (1,1). This result extends to corresponding maximal operators on a transitive group of isometries of the tree, and in particular for (nonabelian finitely generated) free groups.
LA - eng
KW - homogeneous tree; convolution operators; maximal operators; weak type
UR - http://eudml.org/doc/283651
ER -