Optimal interpolation in Hardy and Bergman spaces: a reproducing kernel
Banach space approach
Optimal interpolation in Hardy and Bergman spaces: a reproducing kernel
Banach space approach
After a review of the reproducing kernel Banach space framework and semi-inner products, we apply the techniques to the setting of Hardy spaces $H^p$ and Bergman spaces $A^p$, $1<p<\infty$, on the unit ball in $\mathbb{C}^n$, as well as the Hardy space on the polydisk and half-space. In particular, we show …