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

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 HfH*g is also given.

Authors and Affiliations

Paweł Sobolewski

Keywords

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  • EP ID EP532197
  • DOI 10.17951/a.2018.72.2.57
  • Views 91
  • Downloads 0

How To Cite

Paweł Sobolewski (2018). Products of Toeplitz and Hankel operators on the Bergman space in the polydisk. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 72(2), 57-70. https://europub.co.uk/articles/-A-532197