İstanbul Analiz Seminerleri
Function spaces of exponential growth on a half-plane, zero sets and applications
Marco M. Peloso
Università degli Studi di Milano, İtalya
We introduce a new class of spaces of mixed Hardy-Bergman type on a half-plane.
We study some functional properties of these spaces, and their zero-sets. We apply these
results to the M¨untz-Sz´asz problem for the Bergman space. We also discuss the question of
describing invariant subspaces, in analogy with the classical theorems of Buerling and Lax.
(Joint work in progress with M. Salvatori.)
