$L^{p}({\Bbb R}^{n})$ bounds for commutators of convolution operators
Volume 93 / 2002
Colloquium Mathematicum 93 (2002), 11-20
MSC: Primary 42B20.
DOI: 10.4064/cm93-1-2
Abstract
The $L^p({\mathbb R}^{n})$ boundedness is established for commutators generated by $\mathop {\rm BMO}\nolimits ({\mathbb R}^{n})$ functions and convolution operators whose kernels satisfy certain Fourier transform estimates. As an application, a new result about the $L^p({\mathbb R}^{n})$ boundedness is obtained for commutators of homogeneous singular integral operators whose kernels satisfy the Grafakos–Stefanov condition.
