R\'esultats sur quelques op\'erateurs dans l'espace de Hilbert \`a poids $L^2(\mathbb{C}, \mathrm{e}^{-|z|^2})$

Abstract

By H\"ormander's $L^2$-m\'ethode, we study some operators in the Hilbert space of weight $L^2(\mathbb{C}, \mathrm{e}^{-|z|^2})$. We prove in each case of operator the existence of its inverse which is also a bounded operator.