Geodesic
Complex symmetric weighted composition operators on the Hardy space
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 817-831 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/CMJ.2020.0555-18
Classification : 47B33, 47B38
Keywords: complex symmetry; weighted composition operator; Hardy space 
@article{10_21136_CMJ_2020_0555_18,
     author = {Jiang, Cao and Han, Shi-An and Zhou, Ze-Hua},
     title = {Complex symmetric weighted composition operators on the {Hardy} space},
     journal = {Czechoslovak Mathematical Journal},
     pages = {817--831},
     year = {2020},
     volume = {70},
     number = {3},
     doi = {10.21136/CMJ.2020.0555-18},
     mrnumber = {4151708},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0555-18/}
}
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
SP  - 817
EP  - 831
VL  - 70
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0555-18/
DO  - 10.21136/CMJ.2020.0555-18
LA  - en
ID  - 10_21136_CMJ_2020_0555_18
ER  - 
%0 Journal Article
%A Jiang, Cao
%A Han, Shi-An
%A Zhou, Ze-Hua
%T Complex symmetric weighted composition operators on the Hardy space
%J Czechoslovak Mathematical Journal
%D 2020
%P 817-831
%V 70
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0555-18/
%R 10.21136/CMJ.2020.0555-18
%G en
%F 10_21136_CMJ_2020_0555_18
Jiang, Cao; Han, Shi-An; Zhou, Ze-Hua. Complex symmetric weighted composition operators on the Hardy space. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 3, pp. 817-831. doi: 10.21136/CMJ.2020.0555-18

Cité par Sources :