L 2(n) Boundedness for the Commutators of Homogeneous Singular Integral Operators

Authors
Hu, Guo En Ma, Bo Lin
Citation
Hu, Guo En et Ma, Bo Lin, L 2(n) Boundedness for the Commutators of Homogeneous Singular Integral Operators, Acta mathematica Sinica. English series (Print) , 20(5), 2004, pp. 785-792
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
20
Issue
5
Year of publication
2004
Pages
785 - 792
Database
ACNP
SICI code
Abstract
The commutators of singular integral operators with homogeneous kernel (x)|x|n are studied, where is homogeneous of degree zero, and has mean value zero on the unit sphere. It is proved that L(logL)k*1(S n1) is a sufficient condition such that the k-th order commutator is bounded on L 2(n).