Hilbert spaces contractively contained in weighted Bergman spaces on the unit disk

DOI10.1016/j.jmaa.2018.11.030zbMath1423.46043arXiv1807.08366OpenAlexW2883261115MaRDI QIDQ2414760

Cheng Chu

Publication date: 17 May 2019

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08366

zbMATH Keywords

Hilbert spaceBergman spacereproducing kernelsub-Bergman Hilbert space

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Bergman spaces and Fock spaces (30H20)

Related Items (2)

Higher-order de Branges-Rovnyak and sub-Bergman spaces ⋮ Weighted sub-Bergman Hilbert spaces in the unit ball of \(\mathbb{C}^n\)

Cites Work

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• Sub-Bergman Hilbert spaces
• Inner multipliers of de Branges' spaces
• Multiplicative structure of de Branges's spaces
• Sub-Bergman Hilbert spaces in the unit disk. II.
• Density of polynomials in sub-Bergman Hilbert spaces
• An Introduction to the Theory of Reproducing Kernel Hilbert Spaces
• Sub-Bergman Hilbert spaces on the unit disk
• The Theory ofH(b) Spaces
• Theory of Reproducing Kernels

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