| dc.creator |
Karaev, MT |
|
| dc.date |
2005-05-15T00:00:00Z |
|
| dc.date.accessioned |
2021-12-03T11:29:29Z |
|
| dc.date.available |
2021-12-03T11:29:29Z |
|
| dc.identifier |
605ba821-ce1d-40ef-aad6-4020965b8afb |
|
| dc.identifier |
10.1016/j.crma.2005.04.021 |
|
| dc.identifier |
https://avesis.sdu.edu.tr/publication/details/605ba821-ce1d-40ef-aad6-4020965b8afb/oai |
|
| dc.identifier.uri |
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/92173 |
|
| dc.description |
The following problem was formulated by Zorboska [Proc. Amer. Math. Soc. 13 1 (2003) 793-800]: It is not known if the Berezin symbols of a bounded operator on the Bergman space L-a(2)(D) must have radial hunts almost everywhere oil the unit circle. In this Note we solve this problem in the negative, showing that there is a concrete class of diagonal operators for which the Berezin symbol does not have radial boundary values anywhere on the unit circle. A similar result is also obtained in case of the Hardy space H-2(D) over the unit disk D. Moreover, we give an alternative proof to the famous theorem of Berling on z-invariant subspaces in the Hardy space H-2(D), using the concepts of reproducing kernels and Berezin symbols. (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved. |
|
| dc.language |
eng |
|
| dc.rights |
info:eu-repo/semantics/closedAccess |
|
| dc.title |
On some problems related to Berezin symbols |
|
| dc.type |
info:eu-repo/semantics/article |
|