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

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