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Journal of Applied MathematicsVolume 2013 2013, Article ID 178961, 8 pages

Research Article

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China

Received 29 March 2013; Accepted 30 May 2013

Academic Editor: Alberto Cabada

Copyright © 2013 Peizhu Xie and Ruming Gong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let be a singular nonintegral operator; that is, it does not have an integral representation by a kernel with size estimates, even rough. In this paper, we consider the boundedness of commutators with and Lipschitz functions. Applications include spectral multipliers of self-adjoint, positive operators, Riesz transforms of second-order divergence form operators, and fractional power of elliptic operators.

Author: Peizhu Xie and Ruming Gong



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