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

Paweł Sobolewski

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 \(T_fT_{\bar g}\) densely defined on the Bergman space in the polydisk. An analogous condition for the products of the Hankel operators \(H_fH^*_g\) is also given.

Keywords


Toeplitz operator; Bergman space

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References


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DOI: http://dx.doi.org/10.17951/a.2018.72.2.57
Date of publication: 2018-12-22 22:03:14
Date of submission: 2018-12-21 23:07:31


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