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Wold-type decompositions for invariant subspaces of the Bergman space
by
Brent J. Carswell
Allegheny College
Coauthors: Rachel J. Weir
Aleman, Richter, and Sundberg proved that if a closed subspace M of the Bergman space A2 is invariant under the shift, that is, if zM ⊂ M, then M is generated by the orthocomplement of zM within M. This result is viewed as a Bergman space version of Beurling's theorem for invariant subspaces of the Hardy space. In this talk, we present some related work inspired by the aforementioned results.
Date received: February 20, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavq-66.