Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball

Małgorzata Michalska, Maria Nowak, and Paweł Sobolewski. "Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball." Annales Polonici Mathematici 99.1 (2010): 45-53. <http://eudml.org/doc/280298>.

@article{MałgorzataMichalska2010,
abstract = {We prove a sufficient condition for products of Toeplitz operators $T_fT_\{ḡ\}$, where f,g are square integrable holomorphic functions in the unit ball in ℂⁿ, to be bounded on the weighted Bergman space. This condition slightly improves the result obtained by K. Stroethoff and D. Zheng. The analogous condition for boundedness of products of Hankel operators $H_fH*_g$ is also given.},
author = {Małgorzata Michalska, Maria Nowak, Paweł Sobolewski},
journal = {Annales Polonici Mathematici},
keywords = {Toeplitz operator; Hankel operator; weighted Bergman space},
language = {eng},
number = {1},
pages = {45-53},
title = {Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball},
url = {http://eudml.org/doc/280298},
volume = {99},
year = {2010},
}

TY - JOUR
AU - Małgorzata Michalska
AU - Maria Nowak
AU - Paweł Sobolewski
TI - Bounded Toeplitz and Hankel products on weighted Bergman spaces of the unit ball
JO - Annales Polonici Mathematici
PY - 2010
VL - 99
IS - 1
SP - 45
EP - 53
AB - We prove a sufficient condition for products of Toeplitz operators $T_fT_{ḡ}$, where f,g are square integrable holomorphic functions in the unit ball in ℂⁿ, to be bounded on the weighted Bergman space. This condition slightly improves the result obtained by K. Stroethoff and D. Zheng. The analogous condition for boundedness of products of Hankel operators $H_fH*_g$ is also given.
LA - eng
KW - Toeplitz operator; Hankel operator; weighted Bergman space
UR - http://eudml.org/doc/280298
ER -