A Carleson-type condition for interpolation in Bergman spaces

DOI10.1515/crll.1998.041zbMath0916.30037OpenAlexW2044946959MaRDI QIDQ4380460

Kristian Seip, Alexander P. Schuster

Publication date: 20 July 1999

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.1998.041

zbMATH Keywords

Bergman spaceBlaschke productinterpolating sequence

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Moment problems and interpolation problems in the complex plane (30E05) Lacunary inversion theorems (40E15)

Related Items (13)

Properties of analytic Morrey spaces and applications ⋮ CARLESON INTERPOLATING SEQUENCES FOR BANACH SPACES OF ANALYTIC FUNCTIONS ⋮ Unnamed Item ⋮ Geometry of reproducing kernels in model spaces near the boundary ⋮ Uniform minimality, unconditionality and interpolation in backward shift invariant subspaces ⋮ Minimality and (weighted) interpolation in Paley-Wiener spaces ⋮ Sharp results on the integrability of the derivative of an interpolating Blaschke product ⋮ A Carleson type condition for interpolating sequences in the Hardy spaces of the ball of \(\mathbb{C}^{n}\) ⋮ Extremely weak interpolation in 𝐻^{∞} ⋮ Uniform densities of regular sequences in the unit disk ⋮ Approximation numbers of composition operators on the \(H^2\) space of Dirichlet series ⋮ Multiple interpolation and extremal functions in the Bergman spaces. ⋮ Decay rates for approximation numbers of composition operators

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