Commutators with Lipschitz Functions and Nonintegral Operators

Peizhu Xie and Ruming Gong

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/178961

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:178961

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