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Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 4

A Beurling-type theorem in Bergman spaces

Ali ABKAR

Pages
711–716
DOI
—

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

Özet

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