Turkish Journal of Mathematics
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