Two results on the Dunkl maximal operator

@article{LucDeleaval2011,
abstract = {In this article, we first improve the scalar maximal theorem for the Dunkl maximal operator by giving some precisions on the behavior of the constants of this theorem for a general reflection group. Next we complete the vector-valued theorem for the Dunkl-type Fefferman-Stein operator in the $ℤ₂^\{d\}$ case by establishing a result of exponential integrability corresponding to the case p = +∞.},
author = {Luc Deleaval},
journal = {Studia Mathematica},
keywords = {Dunkl operators; maximal operators; Fefferman-Stein operators},
language = {eng},
number = {1},
pages = {47-68},
title = {Two results on the Dunkl maximal operator},
url = {http://eudml.org/doc/285889},
volume = {203},
year = {2011},
}

TY - JOUR
AU - Luc Deleaval
TI - Two results on the Dunkl maximal operator
JO - Studia Mathematica
PY - 2011
VL - 203
IS - 1
SP - 47
EP - 68
AB - In this article, we first improve the scalar maximal theorem for the Dunkl maximal operator by giving some precisions on the behavior of the constants of this theorem for a general reflection group. Next we complete the vector-valued theorem for the Dunkl-type Fefferman-Stein operator in the $ℤ₂^{d}$ case by establishing a result of exponential integrability corresponding to the case p = +∞.
LA - eng
KW - Dunkl operators; maximal operators; Fefferman-Stein operators
UR - http://eudml.org/doc/285889
ER -