Weighted endpoint estimates for commutators of fractional integrals

Cruz-Uribe, David, and Fiorenza, Alberto. "Weighted endpoint estimates for commutators of fractional integrals." Czechoslovak Mathematical Journal 57.1 (2007): 153-160. <http://eudml.org/doc/31120>.

@article{Cruz2007,
abstract = {Given $\alpha $, $0<\alpha <n$, and $b\in \{\mathrm \{B\}MO\}$, we give sufficient conditions on weights for the commutator of the fractional integral operator, $[b,I_\alpha ]$, to satisfy weighted endpoint inequalities on $\mathbb \{R\}^n$ and on bounded domains. These results extend our earlier work [3], where we considered unweighted inequalities on $\mathbb \{R\}^n$.},
author = {Cruz-Uribe, David, Fiorenza, Alberto},
journal = {Czechoslovak Mathematical Journal},
keywords = {fractional integrals; commutators; BMO; weights; Orlicz spaces; maximal functions; fractional integrals; commutators; BMO; weights; Orlicz spaces; maximal functions},
language = {eng},
number = {1},
pages = {153-160},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weighted endpoint estimates for commutators of fractional integrals},
url = {http://eudml.org/doc/31120},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Cruz-Uribe, David
AU - Fiorenza, Alberto
TI - Weighted endpoint estimates for commutators of fractional integrals
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 1
SP - 153
EP - 160
AB - Given $\alpha $, $0<\alpha <n$, and $b\in {\mathrm {B}MO}$, we give sufficient conditions on weights for the commutator of the fractional integral operator, $[b,I_\alpha ]$, to satisfy weighted endpoint inequalities on $\mathbb {R}^n$ and on bounded domains. These results extend our earlier work [3], where we considered unweighted inequalities on $\mathbb {R}^n$.
LA - eng
KW - fractional integrals; commutators; BMO; weights; Orlicz spaces; maximal functions; fractional integrals; commutators; BMO; weights; Orlicz spaces; maximal functions
UR - http://eudml.org/doc/31120
ER -