Restricted Beurling transforms on Campanato spaces

Evgueni Doubtsov, Andrei V. Vasin

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 tran…