Complex and Real Analysis and Operator Theory

PI1: José Ángel Peláez

PI2: Francisco Javier Martín Reyes

Abstract: Some sections of this project  deal with classical problems on Real or Complex Analysis but there is one of them which may be understood as a bridge between Harmonic Analysis and Operator Theory on spaces of analytic functions,  because roughly speaking the main objective is to construct a  theory of weights for operators acting on spaces of analytic functions. Specifically, one would like to describe the weights $w$ (usually $w$ is a radial on the unit disc $\D=\{z\in\C: |z|<1\}$) such that an operator satisfies a concrete property (boundeness, compactness, surjectivity,\dots) acting on a space of analytic functions.