On the closed range problem for composition operators on the Dirichlet space

DOI10.1515/conop-2019-0007OpenAlexW2970683702MaRDI QIDQ2011369

Nina Zorboska

Publication date: 6 December 2019

Published in: Concrete Operators (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/conop-2019-0007

zbMATH Keywords

Toeplitz operatorDirichlet spaceBerezin transformcomposition operatorclosed range operatorvanishing mean oscillation

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Linear composition operators (47B33) Besov spaces and (Q_p)-spaces (30H25) Blaschke products (30J10) BMO-spaces (30H35)

Cites Work

• Closed range composition operators on Hilbert function spaces
• Inequalities on Bergman spaces
• Boundary behavior of derivatives of analytic functions
• Characterizations of certain classes of Hankel operators on the Bergman spaces of the unit disk
• Toeplitz operators with BMO symbols and the Berezin transform
• Closed range type properties of Toeplitz operators on the Bergman space and the Berezin transform
• Invertibility of Toeplitz operators via Berezin transforms
• Functions not Vanishing on Trivial Gleason Parts of Douglas Algebras
• VMO, ESV, and Toeplitz Operators on the Bergman Space
• Toeplitz and Hankel Operators on Bergman Spaces
• Compact operators via the Berezin transform
• Composition operators on weighted Dirichlet spaces
• Bounded composition operators with closed range on the Dirichlet space
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