A Beurling-type theorem in Bergman spaces

Authors: ALI ABKAR

Abstract: It is known that Beurling's theorem concerning invariant subspaces is not true in the Bergman space (in contrast to the Hardy space case). However, Aleman, Richter, and Sundberg proved that every cyclic invariant subspace in the Bergman space \lpad, 0

Keywords: Bergman space, Beurling's theorem, extremal function, invariant subspace, cyclic subspace, zero-based subspace

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