Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 165
On singular values of Integration operators on weighted Bergman spaces
Ibrahim Marrhich, Marouane Bourass, Omar El-Fallah, Hatim Naqos
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 23, 2022
March 03, 2151
April 15, 2151

Abstract: We devote this talk to the Integration operator on weighted Bergman spaces. We will give asymptotic estimates of the singular values of such operators on Bergman spaces associated with weights not necessarily radial. Several important classes of weights that have appeared in the literature before are examples of the weights considered in our work. Recall that the singular values of a compact operator T between two complex Hilbert spaces are the square root of the eigenvalues of the positive operator T*T.