Multilinear commutators for fractional integrals in non-homogeneous spaces.

Hu, Guoen, Meng, Yan, and Yang, Dachung. "Multilinear commutators for fractional integrals in non-homogeneous spaces.." Publicacions Matemàtiques 48.2 (2004): 335-367. <http://eudml.org/doc/41504>.

@article{Hu2004,
abstract = {Under the assumption that m is a non-doubling measure on Rd, the authors obtain the (Lp,Lq)-boundedness and the weak type endpoint estimate for the multilinear commutators generated by fractional integrals with RBMO (m) functions of Tolsa or with Osc exp Lr(m) functions for r greater than or equal to 1, where Osc exp Lr(m) is a space of Orlicz type satisfying that Osc exp Lr(m)=RBMO(m) if r=1 and Osc exp Lr(m) is a subset of RBMO(m) if r&gt;1.},
author = {Hu, Guoen, Meng, Yan, Yang, Dachung},
journal = {Publicacions Matemàtiques},
keywords = {Operadores lineales; Conmutadores; Integrales singulares; Integrales fraccionarias; Operadores maximales; Espacio de Orlicz; Funciones de oscilación media acotada; Espacios de Lebesgue; fractional integral; commutators; non-doubling measure; ; Lq); weak type estimate},
language = {eng},
number = {2},
pages = {335-367},
title = {Multilinear commutators for fractional integrals in non-homogeneous spaces.},
url = {http://eudml.org/doc/41504},
volume = {48},
year = {2004},
}

TY - JOUR
AU - Hu, Guoen
AU - Meng, Yan
AU - Yang, Dachung
TI - Multilinear commutators for fractional integrals in non-homogeneous spaces.
JO - Publicacions Matemàtiques
PY - 2004
VL - 48
IS - 2
SP - 335
EP - 367
AB - Under the assumption that m is a non-doubling measure on Rd, the authors obtain the (Lp,Lq)-boundedness and the weak type endpoint estimate for the multilinear commutators generated by fractional integrals with RBMO (m) functions of Tolsa or with Osc exp Lr(m) functions for r greater than or equal to 1, where Osc exp Lr(m) is a space of Orlicz type satisfying that Osc exp Lr(m)=RBMO(m) if r=1 and Osc exp Lr(m) is a subset of RBMO(m) if r&gt;1.
LA - eng
KW - Operadores lineales; Conmutadores; Integrales singulares; Integrales fraccionarias; Operadores maximales; Espacio de Orlicz; Funciones de oscilación media acotada; Espacios de Lebesgue; fractional integral; commutators; non-doubling measure; ; Lq); weak type estimate
UR - http://eudml.org/doc/41504
ER -