Geodesic
Algebraic properties of Toeplitz operators on weighted Bergman spaces
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 823-836

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We study algebraic properties of two Toeplitz operators on the weighted Bergman space on the unit disk with harmonic symbols. In particular the product property and commutative property are discussed. Further we apply our results to solve a compactness problem of the product of two Hankel operators on the weighted Bergman space on the unit bidisk.
DOI : 10.21136/CMJ.2020.0108-20
Classification : 47B35
Keywords: Bergman space; Toeplitz operator; Hankel operator; Berezin transform 
@article{10_21136_CMJ_2020_0108_20,
     author = {Appuhamy, Amila},
     title = {Algebraic properties of {Toeplitz} operators on weighted {Bergman} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {823--836},
     publisher = {mathdoc},
     volume = {71},
     number = {3},
     year = {2021},
     doi = {10.21136/CMJ.2020.0108-20},
     mrnumber = {4295248},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0108-20/}
}
TY  - JOUR
AU  - Appuhamy, Amila
TI  - Algebraic properties of Toeplitz operators on weighted Bergman spaces
JO  - Czechoslovak Mathematical Journal
PY  - 2021
SP  - 823
EP  - 836
VL  - 71
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0108-20/
DO  - 10.21136/CMJ.2020.0108-20
LA  - en
ID  - 10_21136_CMJ_2020_0108_20
ER  - 
%0 Journal Article
%A Appuhamy, Amila
%T Algebraic properties of Toeplitz operators on weighted Bergman spaces
%J Czechoslovak Mathematical Journal
%D 2021
%P 823-836
%V 71
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0108-20/
%R 10.21136/CMJ.2020.0108-20
%G en
%F 10_21136_CMJ_2020_0108_20
Appuhamy, Amila. Algebraic properties of Toeplitz operators on weighted Bergman spaces. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 3, pp. 823-836. doi: 10.21136/CMJ.2020.0108-20

Cité par Sources :