Polyanalytic Besov spaces and approximation by dilatations.

DOI10.21136/CMJ.2023.0347-23MaRDI QIDQ6584419

A. Abkar

Publication date: 7 August 2024

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

dilatationmean approximationpolyanalytic Bergman spaceangular weightnon-radial weightpolyanalytic Besov space

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Banach spaces of continuous, differentiable or analytic functions (46E15) Bergman spaces and Fock spaces (30H20) Besov spaces and (Q_p)-spaces (30H25)

Cites Work

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• Asymptotic expansion of polyanalytic Bergman kernels
• On the structure of Bergman and poly-Bergman spaces
• Norm approximation by polynomials in some weighted Bergman spaces
• On the structure of spaces of polyanalytic functions
• Approximation in weighted analytic Besov spaces and in generalized Fock spaces
• Mean approximation in Bergman spaces of polyanalytic functions
• Function Spaces of Polyanalytic Functions
• A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces

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