On weak type inequalities for rare maximal functions in ℝⁿ

A. M. Stokolos. "On weak type inequalities for rare maximal functions in ℝⁿ." Colloquium Mathematicae 104.2 (2006): 311-315. <http://eudml.org/doc/284183>.

@article{A2006,
abstract = {The study of one-dimensional rare maximal functions was started in [4,5]. The main result in [5] was obtained with the help of some general procedure. The goal of the present article is to adapt the procedure (we call it "dyadic crystallization") to the multidimensional setting and to demonstrate that rare maximal functions have properties not better than the Strong Maximal Function.},
author = {A. M. Stokolos},
journal = {Colloquium Mathematicae},
keywords = {maximal function; differentiation basis; crystallization},
language = {eng},
number = {2},
pages = {311-315},
title = {On weak type inequalities for rare maximal functions in ℝⁿ},
url = {http://eudml.org/doc/284183},
volume = {104},
year = {2006},
}

TY - JOUR
AU - A. M. Stokolos
TI - On weak type inequalities for rare maximal functions in ℝⁿ
JO - Colloquium Mathematicae
PY - 2006
VL - 104
IS - 2
SP - 311
EP - 315
AB - The study of one-dimensional rare maximal functions was started in [4,5]. The main result in [5] was obtained with the help of some general procedure. The goal of the present article is to adapt the procedure (we call it "dyadic crystallization") to the multidimensional setting and to demonstrate that rare maximal functions have properties not better than the Strong Maximal Function.
LA - eng
KW - maximal function; differentiation basis; crystallization
UR - http://eudml.org/doc/284183
ER -