Resumen de A characterization of commutators for parabolic singular integrals
In this paper, the authors give a characterization of the Lp-boundedness of the commutators for the parabolic singular integrals. More precisely, the authors prove that if b∈BMOφ(Rn,ρ), then the commutator [b,T] is a bounded operator from Lp(Rn) to the Orlicz space Lψ(Rn), where the kernel function Ω has no any smoothness on the unit sphere Sn−1. Conversely, if assuming on Ω a slight smoothness on Sn−1, then the boundedness of [b,T] from Lp(Rn) to Lψ(Rn) implies that b∈BMOφ(Rn,ρ). The results in this paper improve essentially and extend some known conclusions.
