2 problems

Let $H^2$ be the Hardy space on the unit disk, let $A^p_\beta$ denote the standard weighted Bergman space with exponent $p$ and weight parameter $\beta$, and let the Szegő kernel b…

Let $0<p\leq q<\infty$, $0<r<1$, and let $\alpha\geq 1$. For an analytic function $f$ on the unit disk, write … The contractive inequality in Theorem is the assertion that Theorem.…