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

Paweł Sobolewski

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2018)

  • Volume: 72, Issue: 2
  • ISSN: 0365-1029

Abstract

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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.

How to cite

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Paweł Sobolewski. "Products of Toeplitz and Hankel operators on the Bergman space in the polydisk." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 72.2 (2018): null. <http://eudml.org/doc/290754>.

@article{PawełSobolewski2018,
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.},
author = {Paweł Sobolewski},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Toeplitz operator; Bergman space},
language = {eng},
number = {2},
pages = {null},
title = {Products of Toeplitz and Hankel operators on the Bergman space in the polydisk},
url = {http://eudml.org/doc/290754},
volume = {72},
year = {2018},
}

TY - JOUR
AU - Paweł Sobolewski
TI - Products of Toeplitz and Hankel operators on the Bergman space in the polydisk
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2018
VL - 72
IS - 2
SP - null
AB - 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.
LA - eng
KW - Toeplitz operator; Bergman space
UR - http://eudml.org/doc/290754
ER -

References

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  11. Stroethoff, K., Zheng, D., Bounded Toeplitz products on the Bergman space of the polydisk, J. Math. Anal. Appl. 278 (1) (2003), 125-135. 
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