Trace class criteria for bilinear Hankel forms of higher weights

DOI10.1090/S0002-9939-06-08583-2zbMath1129.47026MaRDI QIDQ3425983

Marcus Sundhäll

Publication date: 7 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

atomic decompositionBergman spacesunitary representationsSchatten-von Neumann classesMöbius groupHankel formstransvectantsduality of Besov spaces

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces of functions in several complex variables (32A36) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Forms (bilinear, sesquilinear, multilinear) (47A07)

Cites Work

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• Hankel forms and the Fock space
• Vectorial Hankel operators, commutators and related operators of the Schatten - von Neumann class \(S_ p\).
• Hankel forms of arbitrary weight over a symmetric domain via the transvectant
• Tensor products of holomorphic representations and bilinear differential operators
• A New Generalization of Hankel Operators (the Case of Higher Weights)
• Multilinear Hankel forms of higher order and orthogonal polynomials
• Tensor Products of Weighted Bergman Spaces and Invariant Ha-Plitz Operators.
• Higher order Hilbert-Schmidt Hankel forms and tensors of analytical kernels
• Hankel kernels of higher weight for the ball
• Schatten-von Neumann properties of bilinear Hankel forms of higher weights

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