Toeplitz-Hankel type operators on Dirichlet spaces

DOI10.1007/BF01198488zbMath0832.47021MaRDI QIDQ1903350

Qingtang Jiang, Li Zhong Peng

Publication date: 26 February 1996

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsboundednessorthogonal decompositionweighted Dirichlet space\(S_ p\)-criteriaToeplitz and Hankel type operatorsweighted Dirichlet energy integrals

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Appell, Horn and Lauricella functions (33C65)

Cites Work

• Trace ideal criteria for Hankel operators, and applications to Besov spaces
• The Bergman space, the Bloch space, and commutators of multiplication operators
• Hankel operator between weighted Bergman spaces
• Vectorial Hankel operators, commutators and related operators of the Schatten - von Neumann class \(S_ p\).
• Paracommutators-Boundedness and Schatten-Von Neumann Properties
• Hankel Operators on Weighted Bergman Spaces
• HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)
• A DESCRIPTION OF HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ FOR $ p>0$, AN INVESTIGATION OF THE RATE OF RATIONAL APPROXIMATION, AND OTHER APPLICATIONS
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