Complex symmetric weighted composition operators on the Hardy space
Cao Jiang; Shi-An Han; Ze-Hua Zhou
Czechoslovak Mathematical Journal (2020)
- Volume: 70, Issue: 3, page 817-831
- ISSN: 0011-4642
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topJiang, Cao, Han, Shi-An, and Zhou, Ze-Hua. "Complex symmetric weighted composition operators on the Hardy space." Czechoslovak Mathematical Journal 70.3 (2020): 817-831. <http://eudml.org/doc/297318>.
@article{Jiang2020,
abstract = {This paper identifies a class of complex symmetric weighted composition operators on $H^2(\mathbb \{D\})$ that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators identified by Bourdon and Narayan. A characterization of algebraic weighted composition operators with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional.},
author = {Jiang, Cao, Han, Shi-An, Zhou, Ze-Hua},
journal = {Czechoslovak Mathematical Journal},
keywords = {complex symmetry; weighted composition operator; Hardy space},
language = {eng},
number = {3},
pages = {817-831},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Complex symmetric weighted composition operators on the Hardy space},
url = {http://eudml.org/doc/297318},
volume = {70},
year = {2020},
}
TY - JOUR
AU - Jiang, Cao
AU - Han, Shi-An
AU - Zhou, Ze-Hua
TI - Complex symmetric weighted composition operators on the Hardy space
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 3
SP - 817
EP - 831
AB - This paper identifies a class of complex symmetric weighted composition operators on $H^2(\mathbb {D})$ that includes both the unitary and the Hermitian weighted composition operators, as well as a class of normal weighted composition operators identified by Bourdon and Narayan. A characterization of algebraic weighted composition operators with degree no more than two is provided to illustrate that the weight function of a complex symmetric weighted composition operator is not necessarily linear fractional.
LA - eng
KW - complex symmetry; weighted composition operator; Hardy space
UR - http://eudml.org/doc/297318
ER -
References
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