4531

A Beurling-type theorem in Bergman spaces

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

A Beurling-type theorem in Bergman spaces

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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