Compact operators with BMO symbols on multiply-connected domains
In this paper we study the problem of the boundedness and compactness of the Toeplitz operator Tϕ on L 2 a(Ω), where Ω is a multiply-connected domain and ϕ is not bounded. We find a necessary and sufficient condition when the symbol is BMO. For this class we also show that the vanishing at the bound...
Elmentve itt :
| Szerző: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
2018
|
| Sorozat: | Acta scientiarum mathematicarum
84 No. 3-4 |
| Kulcsszavak: | Operátorok, Operátorelmélet |
| doi: | 10.14232/actasm-017-283-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/56933 |
| Tartalmi kivonat: | In this paper we study the problem of the boundedness and compactness of the Toeplitz operator Tϕ on L 2 a(Ω), where Ω is a multiply-connected domain and ϕ is not bounded. We find a necessary and sufficient condition when the symbol is BMO. For this class we also show that the vanishing at the boundary of the Berezin transform is a necessary and sufficient condition for compactness. The same characterization is shown to hold when we analyze operators which are finite sums of finite products of Toeplitz operators with unbounded symbols. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 643-658 |
| ISSN: | 0001-6969 |