In this paper we obtain a condition for analytic square integrable functions which guarantees the boundedness of products of the Toeplitz operators densely defined on the Bergman space in the polydisk. An analogous condition for the products of the Hankel operators is also given.
@article{bwmeta1.element.ojs-doi-10_17951_a_2018_72_2_57,
author = {Pawe\l\ Sobolewski},
title = {Products of Toeplitz and Hankel operators on the Bergman space in the polydisk},
journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
volume = {72},
year = {2018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2018_72_2_57}
}
Paweł Sobolewski. Products of Toeplitz and Hankel operators on the Bergman space in the polydisk. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 72 (2018) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2018_72_2_57/
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