Commutants of Toeplitz operators on the ball and annulus
Glasgow mathematical journal, Tome 37 (1995) no. 3, pp. 303-309

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

In this paper we study commutants of Toeplitz operators with polynomial symbols acting on Bergman spaces of various domains. For a positive integer n, let V denote the Lebesgue volume measure on Cn. If ω is a domain in Cn, then the Bergman space is defined to be the set of all analytic functions from ω into C such that
Čučković, Željko; Fan, Dashan. Commutants of Toeplitz operators on the ball and annulus. Glasgow mathematical journal, Tome 37 (1995) no. 3, pp. 303-309. doi: 10.1017/S001708950003158X
@article{10_1017_S001708950003158X,
     author = {\v{C}u\v{c}kovi\'c, \v{Z}eljko and Fan, Dashan},
     title = {Commutants of {Toeplitz} operators on the ball and annulus},
     journal = {Glasgow mathematical journal},
     pages = {303--309},
     year = {1995},
     volume = {37},
     number = {3},
     doi = {10.1017/S001708950003158X},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S001708950003158X/}
}
TY  - JOUR
AU  - Čučković, Željko
AU  - Fan, Dashan
TI  - Commutants of Toeplitz operators on the ball and annulus
JO  - Glasgow mathematical journal
PY  - 1995
SP  - 303
EP  - 309
VL  - 37
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S001708950003158X/
DO  - 10.1017/S001708950003158X
ID  - 10_1017_S001708950003158X
ER  - 
%0 Journal Article
%A Čučković, Željko
%A Fan, Dashan
%T Commutants of Toeplitz operators on the ball and annulus
%J Glasgow mathematical journal
%D 1995
%P 303-309
%V 37
%N 3
%U http://geodesic.mathdoc.fr/articles/10.1017/S001708950003158X/
%R 10.1017/S001708950003158X
%F 10_1017_S001708950003158X

[1] 1.Baker, I. N., Deddens, J. A. and Ullman, J. L., A theorem on entire functions with applications to Toeplitz operators, Duke Math. J. 41 (1974), 739–745. Google Scholar | DOI

[2] 2.Cowen, C. C., The commutant dof an analytic Toeplitz operator, Trans. Amer. Math. Soc. 239 (1978) 1–31. Google Scholar | DOI

[3] 3.Čučković, Č., Commutants of Toeplitz operators on the Bergman space, Pacific J. Math. 162 (1994), 277–285. Google Scholar | DOI

[4] 4.Deddens, J. A. and Wong, T. K., The commutant of analytic Toeplitz operators, Trans. Amer. Math. Soc. 184 (1973), 261–273. Google Scholar | DOI

[5] 5.Shields, A. L. and Wallen, L. J., The commutants of certain Hilbert space operators, Indiana Univ. Math. J. 20 (1970–1971), 777–788. Google Scholar | DOI

[6] 6.Thomson, J. E., The commutants of a class of analytic Toeplitz operators, Amer. J. Math. 99 (1977), 522–529. Google Scholar | DOI

[7] 7.Wallsten, R., Hankel operators between weighted Bergman spaces on the ball, Ark. Mat. 28 (1990), 183–192. Google Scholar | DOI

Cité par Sources :