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Commutators with Lipschitz functions and nonintegral operators. (English) Zbl 1271.35043

Summary: 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.

MSC:

35J75 Singular elliptic equations
45E99 Singular integral equations
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