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Bulletin of the London Mathematical Society 1994 26(5):472-482; doi:10.1112/blms/26.5.472
© 1994 by London Mathematical Society
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© London Mathematical Society

Invariant Subspaces of Bergman Spaces on Slit Domains

William T. Ross

Department of Mathematics University of Richmond Richmond, VA 23173 USA

Received 5 January 1993.

In this paper, we characterize the z-invariant subspaces that lie between the Bergman spaces Ap(G) and Ap(G\K), where 1 < p < {infty}, G is a bounded region in C, and K is a closed subset of a simple compact C1 arc.


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