| Title:
|
Weighted sub-Bergman Hilbert spaces in the unit disk (English) |
| Author:
|
Abkar, A. |
| Author:
|
Jafarzadeh, B. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
435-443 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study sub-Bergman Hilbert spaces in the weighted Bergman space $A^2_\alpha $. We generalize the results already obtained by Kehe Zhu for the standard Bergman space $A^2$. (English) |
| Keyword:
|
weighted Bergman space |
| Keyword:
|
sub-Bergman Hilbert space |
| Keyword:
|
weighted Toeplitz operator |
| Keyword:
|
reproducing kernel |
| MSC:
|
30H05 |
| MSC:
|
46E22 |
| MSC:
|
47B35 |
| idZBL:
|
Zbl 1220.47033 |
| idMR:
|
MR2657960 |
| . |
| Date available:
|
2010-07-20T16:50:27Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140580 |
| . |
| Reference:
|
[1] Hedenmalm, H., Korenblum, B., Zhu, K.: Theory of Bergman Spaces.Graduate Texts in Mathematics, Vol. 199, Springer-Verlag, New York (2000). Zbl 0955.32003, MR 1758653, 10.1007/978-1-4612-0497-8_1 |
| Reference:
|
[2] Sarason, D.: Sub-Hardy Hilbert Spaces in the Unit Disk.John Wiley and Sons Inc., New York (1994). MR 1289670 |
| Reference:
|
[3] Saitoh, S.: Thoery of Reproducing Kernels and its Applications.Pitman Research Notes in Mathematics, Vol. 189, New York (1988). MR 0983117 |
| Reference:
|
[4] Sultanic, S.: Sub-Bergman Hilbert spaces.J. Math. Anal. Appl. 324 (2006), 639-649. Zbl 1115.46021, MR 2262497, 10.1016/j.jmaa.2005.12.035 |
| Reference:
|
[5] Zhu, K.: Sub-Bergman Hilbert spaces in the unit disk.Indiana Univ. Math. J. 45 (1996), 165-176. MR 1406688 |
| Reference:
|
[6] Zhu, K.: Sub-Bergman Hilbert spaces in the unit disk II.J. Func. Anal. 202 (2003), 327-341. Zbl 1039.47019, MR 1990528, 10.1016/S0022-1236(02)00086-1 |
| Reference:
|
[7] Zhu, K.: Operator Theory in Function Spaces.Dekker, New York (1990). Zbl 0706.47019, MR 1074007 |
| . |
