English

On asymptotic and essential Toeplitz and Hankel integral operator

Functional Analysis 2024-09-17 v1 Complex Variables Operator Algebras

Abstract

In this article we consider the generalized integral operators acting on the Hilbert space H2H^2. We characterize when these operators are uniform, strong and weakly asymptotic Toeplitz and Hankel operators. Moreover we completely describe the symbols gg for which these operators are essentially Hankel and essentially Toeplitz.

Keywords

Cite

@article{arxiv.2409.10014,
  title  = {On asymptotic and essential Toeplitz and Hankel integral operator},
  author = {C. Bellavita and G. Stylogiannis},
  journal= {arXiv preprint arXiv:2409.10014},
  year   = {2024}
}
R2 v1 2026-06-28T18:45:39.672Z