Polynomial approximation and composition operators

DOI10.1090/proc/14455OpenAlexW2900211060MaRDI QIDQ5002538

Guang Fu Cao, Li He, K. H. Zhu

Publication date: 28 July 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14455

zbMATH Keywords

Bergman spacepolynomial approximationunivalent functionDirichlet spacecomposition operator

Mathematics Subject Classification ID

Dirichlet forms (31C25) Approximation in the complex plane (30E10) Linear composition operators (47B33) Bergman spaces and Fock spaces (30H20)

Related Items (2)

Fredholm composition operators on Hardy-Sobolev spaces with bounded reproducing kernel ⋮ Non-radial weights and polynomial approximation in spaces of analytic functions

Cites Work

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• A representation formula for the Dirichlet integral
• Univalent multipliers of the Dirichlet space
• Density of the polynomials in Bergman spaces
• Point evaluations, invariant subspaces and approximation in the mean by polynomials
• Multipliers of the Dirichlet space
• Composition operators acting on weighted Dirichlet spaces
• Density of the polynomials in Hardy and Bergman spaces of slit domains
• Toeplitz Operators on Bergman Spaces
• Composition operators on weighted Dirichlet spaces

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