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Author

Joan Hernández

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Preprint Oct 2026

Uniform $L^2$-bounds for the $n$-th Calder\'on commutator on Lipschitz graphs

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 Calder\'on commutator and $C$ is an absolute constant. The essential tool is the Coifman--McIntosh--Meyer theorem, applied to a holomorp...

Joan Hernández, Joan Mateu, Laura Prat · 0 citations
Preprint Oct 2026

Uniform $L^2$-bounds for the $n$-th Calder\'on commutator on Lipschitz graphs

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 Calder\'on commutator and $C$ is an absolute constant. The essential tool is the Coifman--McIntosh--Meyer theorem, applied to a holomorp...

Joan Hernández, Joan Mateu, Laura Prat · 0 citations

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