JOP's counting function and Jones' square function

Karin Reinhold. "JOP's counting function and Jones' square function." Studia Mathematica 172.1 (2006): 1-23. <http://eudml.org/doc/284926>.

@article{KarinReinhold2006,
abstract = {We study a class of square functions in a general framework with applications to a variety of situations: samples along subsequences, averages of $ℤ₊^\{d\}$ actions and of positive L¹ contractions. We also study the relationship between a counting function first introduced by Jamison, Orey and Pruitt, in a variety of situations, and the corresponding ergodic averages. We show that the maximal counting function is not dominated by the square functions.},
author = {Karin Reinhold},
journal = {Studia Mathematica},
keywords = {square function; counting function; restricted weak type; ergodic averages along subsequences},
language = {eng},
number = {1},
pages = {1-23},
title = {JOP's counting function and Jones' square function},
url = {http://eudml.org/doc/284926},
volume = {172},
year = {2006},
}

TY - JOUR
AU - Karin Reinhold
TI - JOP's counting function and Jones' square function
JO - Studia Mathematica
PY - 2006
VL - 172
IS - 1
SP - 1
EP - 23
AB - We study a class of square functions in a general framework with applications to a variety of situations: samples along subsequences, averages of $ℤ₊^{d}$ actions and of positive L¹ contractions. We also study the relationship between a counting function first introduced by Jamison, Orey and Pruitt, in a variety of situations, and the corresponding ergodic averages. We show that the maximal counting function is not dominated by the square functions.
LA - eng
KW - square function; counting function; restricted weak type; ergodic averages along subsequences
UR - http://eudml.org/doc/284926
ER -