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Restricted Beurling transforms on Campanato spaces
Published 26 Apr 2016 in math.CV | (1604.07670v1)
Abstract: Let $\Omega\subset \mathbb{C}$ be a bounded domain with $\mathcal{C}{1,\omega}$-smooth boundary, where $\omega$ is a Dini-smooth modulus of continuity. We prove that the restricted Beurling transform is bounded on the Campanato space $\mathrm{BMO}_\omega(\Omega)$.
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