Essentially hyponormal multiplication operators on the Dirichlet space

DOI10.1007/s00013-016-1006-zzbMath1373.47020OpenAlexW2562739723MaRDI QIDQ517470

Shuaibing Luo

Publication date: 23 March 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-1006-z

zbMATH Keywords

Dirichlet spacemultiplieressentially hyponormal

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Commutators, derivations, elementary operators, etc. (47B47) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (1)

Toeplitz algebra and spectra of Toeplitz operators on the harmonic Dirichlet space

Cites Work

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• Bilinear forms on the Dirichlet space
• Univalent multipliers of the Dirichlet space
• A formula for the local Dirichlet integral
• The \(\overline{\partial}\)-problem for multipliers of the Sobolev space
• Essentially normal multiplication operators on the Dirichlet space
• Function spaces related to the Dirichlet space
• Multipliers and essential norm on the Drury-Arveson space

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