Operator theoretic differences between Hardy and Dirichlet-type spaces

José Ángel Peláez, Fernando Pérez-González, Jouni Rättyä

For $0<p<\infty$, the Dirichlet-type space $\Dp$ consists of those analytic functions $f$ in the unit disc $\D$ such that $\int_\D|f'(z)|\sp p(1-|z|)^{p-1}\,dA(z)<\infty$. Motivat…