## Journal of Applied Mathematics

### Commutators with Lipschitz Functions and Nonintegral Operators

#### Abstract

Let $T$ 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 $T$ 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.

#### Article information

Source
J. Appl. Math., Volume 2013 (2013), Article ID 178961, 8 pages.

Dates
First available in Project Euclid: 14 March 2014

https://projecteuclid.org/euclid.jam/1394808035

Digital Object Identifier
doi:10.1155/2013/178961

Mathematical Reviews number (MathSciNet)
MR3070497

Zentralblatt MATH identifier
1271.35043

#### Citation

Xie, Peizhu; Gong, Ruming. Commutators with Lipschitz Functions and Nonintegral Operators. J. Appl. Math. 2013 (2013), Article ID 178961, 8 pages. doi:10.1155/2013/178961. https://projecteuclid.org/euclid.jam/1394808035

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