Extremal functions in weighted Bergman spaces

DOI10.1080/17476933.2016.1203912zbMath1364.30061OpenAlexW2465757344MaRDI QIDQ2960591

Maria Nowak, M. Wołoszkiewicz-Cyll, Renata Rososzczuk

Publication date: 17 February 2017

Full work available at URL: https://doi.org/10.1080/17476933.2016.1203912

zbMATH Keywords

extremal functionsinvariant subspacesweighted Bergman spaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Bergman spaces and Fock spaces (30H20)

Related Items

On the wandering property in Dirichlet spaces ⋮ A \(z^{k}\)-invariant subspace without the wandering property ⋮ Analytic 𝑚-isometries without the wandering subspace property

Cites Work

• Contractive zero-divisors in Bergman spaces
• On optimal recovery of a holomorphic function in the unit ball of \(\mathbb{C}^ n\)
• Invariant subspaces in Bergman spaces and the biharmonic equation
• Beurling's theorem for the Bergman space
• The Green function for the weighted biharmonic operator \(\Delta(1-| z|^2)^{-\alpha}\Delta\), and factorization of analytic functions
• Zeros of extremal functions in weighted Bergman spaces.
• Canonical divisors in weighted Bergman spaces
• A factorization theorem for square area-integrable analytic functions.
• On the failure of optimal factorization for certain weighted bergman spaces
• On Beurling-type theorems in weighted 𝑙² and Bergman spaces