A note on the strong maximal operator on ℝⁿ

Jiecheng Chen, and Xiangrong Zhu. "A note on the strong maximal operator on ℝⁿ." Studia Mathematica 165.3 (2004): 291-294. <http://eudml.org/doc/284634>.

@article{JiechengChen2004,
abstract = {We prove that for f ∈ L ln⁺L(ℝⁿ) with compact support, there is a g ∈ L ln⁺L(ℝⁿ) such that (a) g and f are equidistributed, (b) $M_S(g) ∈ L¹(E)$ for any measurable set E of finite measure.},
author = {Jiecheng Chen, Xiangrong Zhu},
journal = {Studia Mathematica},
keywords = {strong maximal operator; Zygmund class; local integrability},
language = {eng},
number = {3},
pages = {291-294},
title = {A note on the strong maximal operator on ℝⁿ},
url = {http://eudml.org/doc/284634},
volume = {165},
year = {2004},
}

TY - JOUR
AU - Jiecheng Chen
AU - Xiangrong Zhu
TI - A note on the strong maximal operator on ℝⁿ
JO - Studia Mathematica
PY - 2004
VL - 165
IS - 3
SP - 291
EP - 294
AB - We prove that for f ∈ L ln⁺L(ℝⁿ) with compact support, there is a g ∈ L ln⁺L(ℝⁿ) such that (a) g and f are equidistributed, (b) $M_S(g) ∈ L¹(E)$ for any measurable set E of finite measure.
LA - eng
KW - strong maximal operator; Zygmund class; local integrability
UR - http://eudml.org/doc/284634
ER -