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ArticleOriginal scientific text

Title

Products of Toeplitz and Hankel operators on the Bergman space in the polydisk

Authors

Abstract

In this paper we obtain a condition for analytic square integrable functions f,g which guarantees the boundedness of products of the Toeplitz operators TfTg¯ densely defined on the Bergman space in the polydisk. An analogous condition for the products of the Hankel operators HfHg∗ is also given.

Keywords

ENG
Toeplitz operator, Bergman space

Bibliography

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Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
2018/72/2
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Main language of publication
English
Published
2018
Published online
2018-12-22

DOI: 10.17951/a.2018.72.2.57

Exact and natural sciences