$L^p\to L^q$ norm estimates of Cauchy transforms on the Dirichlet problem and their applications

Jian-Feng Zhu, Antti Rasila

Denote by $C^{\alpha }(\mathbb{D})$ the space of the functions $f$ on t}he unit disk $\mathbb{D}$ which are Hölder continuous with the exponent $\alpha$, and denote by $C^{1,\alpha }(\mathbb{D})$ th…