Restricted Beurling transforms on Campanato spaces

Evgueni Doubtsov; Andrei V. Vasin

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arXiv · 1604.07670

Restricted Beurling transforms on Campanato spaces

Evgueni Doubtsov·Andrei V. Vasin

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Abstract

Let $Ω\subset \mathbb{C}$ be a bounded domain with $\mathcal{C}^{1,ω}$-smooth boundary, where $ω$ is a Dini-smooth modulus of continuity. We prove that the restricted Beurling transform is bounded on the Campanato space $\mathrm{BMO}_ω(Ω)$.

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BibTeX RIS

Evgueni Doubtsov, Andrei V. Vasin. 2016-04-26. Restricted Beurling transforms on Campanato spaces. https://arxiv.org/abs/1604.07670

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