Espais de Fock:mesures de Carleson i conjunts de zeros

Abstract

[en] The aim of this work is to study Fock spaces $F_{\alpha}^{p}$. These spaces were introduced by Vladimir Fock, a soviet physicist. Among the properties that we will see are the boundary of projection $P_{\alpha}$ for $p \geq 1$, the characterization of Carleson mesures for $F_{\alpha}^{p}$ spaces and the study sets of zeros of these spaces.