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arXiv · 2406.03408

A characterization of Calder\'on-Zygmund operators on RBMO

Evgueni Doubtsov·Andrei V. Vasin
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Abstract

Let $\mathrm{RBMO}(\mu) = \mathrm{RBMO}(\mathbb{R}^m, \mu)$ denote the regular BMO space introduced by X. Tolsa for an $n$-dimensional finite positive measure on $\mathbb{R}^m$, $0<n \le m$. We characterize the bounded Calder\'on-Zygmund operators $T:\mathrm{RBMO}(\mu) \to \mathrm{RBMO}(\mu)$ in terms of the function $T1$.

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Evgueni Doubtsov, Andrei V. Vasin. 2024-06-05. A characterization of Calder\'on-Zygmund operators on RBMO. https://arxiv.org/abs/2406.03408

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