Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We characterize the Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains in terms of the Berezin transform.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Numer
Strony
74-84
Opis fizyczny
Daty
wydano
2013-01-01
online
2012-10-24
Twórcy
autor
- Kunming University of Science and Technology, yangsddp@126.com
Bibliografia
- [1] Abate M., Saracco A., Carleson measures and uniformly discrete sequences in strongly pseudoconvex domains, J. London Math. Soc. (in press), DOI: 10.1112/jlms/jdq092
- [2] Arazy J., Fisher S.D., Peetre J., Hankel operators on weighted Bergman spaces, Amer. J. Math., 1988, 110(6), 989–1053 http://dx.doi.org/10.2307/2374685
- [3] Čučkovic Ž., Zhao R., Weighted composition operators on the Bergman space, J. London Math. Soc., 2004, 70(2), 499–511 http://dx.doi.org/10.1112/S0024610704005605
- [4] Čučkovic Ž., Zhao R., Essential norm estimate of weighted composition operators between Bergman spaces on strongly pseudoconvex domains, Math. Proc. Cambridge Philos. Soc., 2007, 142(3), 525–533 http://dx.doi.org/10.1017/S0305004106009893
- [5] Kobayashi S., Hyperbolic Complex Spaces, Grundlehren Math. Wiss., 318, Springer, Berlin, 1998
- [6] Li S.-Y., Trace ideal criteria for composition operators on Bergman spaces, Amer. J. Math., 1995, 117(5), 1299–1323 http://dx.doi.org/10.2307/2374977
- [7] Zhu K.H., Positive Toeplitz operators on weighted Bergman spaces of bounded symmetric domains, J. Operator Theory, 1988, 20(2), 329–357
- [8] Zhu K.H., Operator Theory in Function Spaces, Monogr. Textbooks Pure Appl. Math., 139, Marecl Dekker, New York, 1990
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_s11533-012-0057-z