2020•Journal of Physics Conference SeriesOpen access

Lipschitz estimates for the commutator of singular integral

Shuo Wu, Zhipei Niu

Abstract

Abstract It is widely known that commutator of Tb of the singular integral operator T with a BMO function b is bounded on Lp (ℝn) for 1 < p < ∞. In this paper, we consider the endpoint estimate for a kind of commutator of singular integrals. We can obtain a Lip β -type estimate for T b under the assumption b ∈ Blipβ .

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Key concepts: Commutator, Singular integral, Lipschitz continuity, Mathematics, Bounded function, Operator (biology), Pure mathematics, Function (biology)