English

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

Complex Variables 2022-07-01 v2

Abstract

By H\"ormander's L2L^2-m\'ethode, we study some operators in the Hilbert space of weight L2(C,ez2)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.

Keywords

Cite

@article{arxiv.2204.13682,
  title  = {R\'esultats sur quelques op\'erateurs dans l'espace de Hilbert \`a poids $L^2(\mathbb{C}, \mathrm{e}^{-|z|^2})$},
  author = {Souhaibou Sambou},
  journal= {arXiv preprint arXiv:2204.13682},
  year   = {2022}
}

Comments

in French