Composition operators on Hardy-Sobolev spaces with bounded reproducing kernels

Guangfu Cao, Li He, Sui Huang

For any real $\beta$ let $H_{\beta }^2$ be the Hardy-Sobolev space on the unit disc $\mathbb{D}$. $H_{\beta }^2$ is a reproducing kernel Hilbert space and its reproducing kernel is bounded when $β>1…