Pluriharmonic Symbols of Commuting Toeplitz Type Operators on the Weighted Bergman Spaces
Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 129-136

Voir la notice de l'article provenant de la source Cambridge University Press

A class of Toeplitz type operators acting on the weighted Bergman spaces of the unit ball in the $n$ -dimensional complex space is considered and two pluriharmonic symbols of commuting Toeplitz type operators are completely characterized.
DOI : 10.4153/CMB-1998-020-7
Mots-clés : 47B38, 32A37, Pluriharmonic functions, Weighted Bergman spaces, Toeplitz type operators
Lee, Young Joo. Pluriharmonic Symbols of Commuting Toeplitz Type Operators on the Weighted Bergman Spaces. Canadian mathematical bulletin, Tome 41 (1998) no. 2, pp. 129-136. doi: 10.4153/CMB-1998-020-7
@article{10_4153_CMB_1998_020_7,
     author = {Lee, Young Joo},
     title = {Pluriharmonic {Symbols} of {Commuting} {Toeplitz} {Type} {Operators} on the {Weighted} {Bergman} {Spaces}},
     journal = {Canadian mathematical bulletin},
     pages = {129--136},
     year = {1998},
     volume = {41},
     number = {2},
     doi = {10.4153/CMB-1998-020-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-020-7/}
}
TY  - JOUR
AU  - Lee, Young Joo
TI  - Pluriharmonic Symbols of Commuting Toeplitz Type Operators on the Weighted Bergman Spaces
JO  - Canadian mathematical bulletin
PY  - 1998
SP  - 129
EP  - 136
VL  - 41
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-020-7/
DO  - 10.4153/CMB-1998-020-7
ID  - 10_4153_CMB_1998_020_7
ER  - 
%0 Journal Article
%A Lee, Young Joo
%T Pluriharmonic Symbols of Commuting Toeplitz Type Operators on the Weighted Bergman Spaces
%J Canadian mathematical bulletin
%D 1998
%P 129-136
%V 41
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-020-7/
%R 10.4153/CMB-1998-020-7
%F 10_4153_CMB_1998_020_7

[1] 1. Axler, S. and Čučković, Ž., Commuting Toeplitz Operators with Harmonic Symbols. Integral Equations Operator Theory 14 (1991), 1–11. Google Scholar

[2] 2. Choe, B. R., Projections, the Weighted Bergman Spaces, and the Bloch Space. Proc. Amer. Math. Soc. 108 (1990), 127–136. Google Scholar

[3] 3. Choe, B. R. and Lee, Y. J., Pluriharmonic Symbols of Commuting Toeplitz Operators. Illinois J. Math. 37 (1993), 424–436. Google Scholar

[4] 4. Coifman, R., Rochberg, R. and Weiss, G., Factorizations Theorems for Hardy Spaces in Several Variables. Ann. of Math. 103 (1976), 611–635. Google Scholar

[5] 5. Lee, Y. J., Pluriharmonic Symbols of Commuting Toeplitz Type Operators. Bull. Austral. Math. Soc. 54 (1996), 67–77. Google Scholar

[6] 6. Rudin, W., Function Theory in the Unit Ball of C . Springer-Verlag, Berlin, Heidelberg, New York, 1980. Google Scholar

[7] 7. Shapiro, J., Cluster Sets, Essential Range, and Distance Estimates in BMO. Michigan Math. J. 34 (1987), 323–335. Google Scholar

[8] 8. Stroethoff, K., Essentially Commuting Toeplitz Operators with Harmonic Symbols. Canad. J. Math. 45 (1993), 1080–1093. Google Scholar

[9] 9. Zheng, D., Commuting Toeplitz Opetators with Pluriharmonic Symbols. preprint. Google Scholar

Cité par Sources :