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>1.
@article{urn:eudml:doc:41504,
title = {Multilinear commutators for fractional integrals in non-homogeneous spaces.},
journal = {Publicacions Matem\`atiques},
volume = {48},
year = {2004},
pages = {335-367},
zbl = {1076.42009},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41504}
}
Hu, Guoen; Meng, Yan; Yang, Dachung. Multilinear commutators for fractional integrals in non-homogeneous spaces.. Publicacions Matemàtiques, Tome 48 (2004) pp. 335-367. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41504/