Work

Uniform $L^2$-bounds for the $n$-th Calderón commutator on Lipschitz graphs

Year: 2026
Type: preprint
Abstract: We prove that, for every real Lipschitz function $A$ and every integer $n\ge1$, $\|T_{A,n}\|_{L^2(\mathbb{R})\to L^2(\mathbb{R})}\le C\,\|A'\|_\infty^n$, where $T_{A,n}$ is the $n$-th Calderón commutator and $C$ is an absolute constant.
Language: English
Open Access status: green
OpenAlex ID: W7222078843
Cites: 1
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Related to: 10