Similarity of multiplication operators on the Sobolev disk algebra

DOI10.1007/s10114-013-1745-8zbMath1279.47051OpenAlexW1968916514MaRDI QIDQ1944852

Kui Ji, Rui Shi

Publication date: 28 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1745-8

zbMATH Keywords

Sobolev spacesimilaritymultiplication operatorSobolev disk algebra

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operators on function spaces (general) (47B38) (K_0) as an ordered group, traces (19K14) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (1)

On quasi-similarity of multiplication operator on the weighted Bergman space in the unit ball

Cites Work

• Similarity of analytic Toeplitz operators on the Bergman spaces
• The commutant and similarity invariant of analytic Toeplitz operators on Bergman space
• Finite Blaschke product and the multiplication operators on Sobolev disk algebra
• Similarity classification of holomorphic curves
• K-group and similarity classification of operators
• Forward and Reverse Carleson Inequalities for Functions in Bergman Spaces and Their Derivatives
• Similarity Classification of Cowen-Douglas Operators
• Complex geometry and operator theory
• Unnamed Item

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