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Analytic Continuation In Bergman Spaces And The Compression Of Certain Toeplitz Operators, William T. Ross
Analytic Continuation In Bergman Spaces And The Compression Of Certain Toeplitz Operators, William T. Ross
Department of Math & Statistics Faculty Publications
Let G be a Jordan domain and K C G be relatively closed with Area(K) = 0. Let A2 (G\K) and A2(G) be the Bergman spaces on G\K, respectively G and define N = A2(G\K) Ɵ A2 (G). In this paper we show that with a mild restriction on K, every function in N has an analytic continuation across the analytic arcs of aG that do not intersect K. This result will be used to discuss the Fredholm theory of the operator Cf = PNTf│N, where f ϵ C(G) …