Measure induced Hankel and Toeplitz type operators on weighted Dirichlet spaces

DOI10.1090/BPROC/215MaRDI QIDQ6493706

Nina Zorboska

Publication date: 29 April 2024

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

zbMATH Keywords

Carleson measuresweighted Dirichlet spacesweak productsToeplitz type operatorsHankel type operatorscomplete Nevanlinna-Pick spacesHankel measures

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Besov spaces and (Q_p)-spaces (30H25)

Cites Work

• Carleson measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on complex balls
• Trace ideal criteria for Toeplitz operators
• Hankel measures for Hardy spaces
• Weak products of Dirichlet functions
• Hankel matrices acting on Dirichlet spaces
• Function spaces related to the Dirichlet space
• Hankel measures on Hardy space
• Weak products of complete Pick spaces
• Factorization in weak products of complete Pick spaces
• One-box conditions for Carleson measures for the Dirichlet space
• Holomorphic \(Q\) classes
• Pseudo-Carleson measures for weighted Bergman spaces
• Toeplitz operators on Dirichlet spaces

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