We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-3-5,
author = {Yufeng Lu and Linghui Kong},
title = {Products of Toeplitz operators and Hankel operators},
journal = {Studia Mathematica},
volume = {223},
year = {2014},
pages = {277-292},
zbl = {1298.47041},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-3-5}
}
Yufeng Lu; Linghui Kong. Products of Toeplitz operators and Hankel operators. Studia Mathematica, Tome 223 (2014) pp. 277-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm220-3-5/