Products of Toeplitz and Hankel operators on the Bergman space in the polydisk
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2018)
- Volume: 72, Issue: 2
- ISSN: 0365-1029
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topPaweł 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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