The convergence of Galerkin-Petrov methods for Dirichlet projections

DOI10.1007/s43034-023-00284-yzbMath1526.45009OpenAlexW4381163773MaRDI QIDQ6108801

Yiyuan Zhang, Li He, Yifang Li

Publication date: 26 July 2023

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-023-00284-y

zbMATH Keywords

Toeplitz operatorsDirichlet-type spacespolynomial collocationGalerkin-Petrov methodsanalytic element collocation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

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• Carleson measures, multipliers and integration operators for spaces of Dirichlet type
• Hankel and Toeplitz operators on Dirichlet spaces
• Fredholm properties of Toeplitz operators on Dirichlet spaces
• A new characterization of Dirichlet type spaces and applications
• Spectrum, asymptotic invertibility and Szegö type theorems of Dirichlet Toeplitz operators
• Galerkin-Petrov methods of Toeplitz operators on Dirichlet space
• On the zeros of functions in Dirichlet-type spaces
• Large Sections of Bergman Space Toeplitz Operators with Piecewise Continuous Symbols
• Galerkin–Petrov Methods for Bergman Space Toeplitz Operators

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