Lp(Rn) boundedness for the commutator of a homogeneous singular integral operator

Guoen Hu
2003 Studia Mathematica  
The commutator of a singular integral operator with homogeneous kernel Ω(x)/|x| n is studied, where Ω is homogeneous of degree zero and has mean value zero on the unit sphere. It is proved that Ω ∈ L(log L) k+1 (S n−1 ) is a sufficient condition for the kth order commutator to be bounded on L p (R n
doi:10.4064/sm154-1-2 fatcat:g6uoasitk5ftrbrvtr33bo55ym