In this paper we study the problem of the boundedness and compactness of the Toeplitz operator Tϕ on L2a(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.
Raimondo, R. (2018). Compact operators with BMO symbols on multiply-connected domains. ACTA SCIENTIARUM MATHEMATICARUM, 84(3-4), 643-658 [10.14232/actasm-017-283-0].
Compact operators with BMO symbols on multiply-connected domains
Raimondo R.
2018
Abstract
In this paper we study the problem of the boundedness and compactness of the Toeplitz operator Tϕ on L2a(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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
acta-reprint-84643658.pdf
Solo gestori archivio
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Dimensione
225.9 kB
Formato
Adobe PDF
|
225.9 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
