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

A Beurling-type theorem in Bergman spaces

Ali ABKAR

Sayfa
711–716
DOI
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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

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

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