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2013 Commutators with Lipschitz Functions and Nonintegral Operators
Peizhu Xie, Ruming Gong
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/178961

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.

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Peizhu Xie. Ruming Gong. "Commutators with Lipschitz Functions and Nonintegral Operators." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/178961

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1271.35043
MathSciNet: MR3070497
Digital Object Identifier: 10.1155/2013/178961

Rights: Copyright © 2013 Hindawi

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