SZTE Repository of Papers and Books: No conditions. Results ordered -Date Deposited. 2020-08-10T10:51:11ZEPrintshttp://acta.bibl.u-szeged.hu/images/acta.jpghttp://acta.bibl.u-szeged.hu/2019-01-30T06:15:23Z2019-09-09T13:44:06Zhttp://acta.bibl.u-szeged.hu/id/eprint/56933This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/569332019-01-30T06:15:23ZCompact operators with BMO symbols on multiply-connected domainsIn 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.Roberto Raimondo