A Beurling-type theorem in Bergman spaces

Authors

ALI ABKAR

DOI

10.3906/mat-0911-115

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

First Page

711

Last Page

716

Recommended Citation

ABKAR, ALI (2011) "A Beurling-type theorem in Bergman spaces," Turkish Journal of Mathematics: Vol. 35: No. 4, Article 11. https://doi.org/10.3906/mat-0911-115
Available at: https://journals.tubitak.gov.tr/math/vol35/iss4/11