Kernels and ranks of Hankel operators on the Dirichlet spaces

DOI10.1016/j.jmaa.2018.02.002OpenAlexW2791510242MaRDI QIDQ1754580

Young Joo Lee

Publication date: 31 May 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.02.002

zbMATH Keywords

Hankel operatorDirichlet spacelittle Hankel operatorpluriharmonic Dirichlet space

Mathematics Subject Classification ID

Operator theory (47-XX) Several complex variables and analytic spaces (32-XX)

Related Items (1)

Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces

Cites Work

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• Compact sums of Toeplitz products and Toeplitz algebra on the Dirichlet space
• Finite rank sums of products of Toeplitz and Hankel operators
• Finite rank Toeplitz products with harmonic symbols
• The Kernel of a Hankel Operator on the Bergman Space
• Spaces of Holomorphic Functions in the Unit Ball
• The rank of Hankel operators on harmonic Bergman spaces
• A theorem of Brown-Halmos type for Bergman space Toeplitz operators
• Invariant subspaces, quasi-invariant subspaces, and Hankel operators.

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