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Trace class criteria for bilinear Hankel forms of higher weights

Marcus Sundhäll (Institutionen för matematiska vetenskaper, matematik)
Proceedings of the American Mathematical Society (0002-9939). Vol. 135 (2007), 5, p. 1377-1388.
[Artikel, refereegranskad vetenskaplig]

In this paper we give a complete characterization of higher weight Hankel forms, on the unit ball of C-d, of Schatten-von Neumann class S-p, 1 <= p <= infinity. For this purpose we give an atomic decomposition for certain Besovtype spaces. The main result is then obtained by combining the decomposition and our earlier results.

Nyckelord: Hankel forms, Schatten-von Neumann classes, Bergman spaces, Bergman, projections, duality of Besov spaces, atomic decomposition, transvectants, unitary representations, Mobius group, TENSOR-PRODUCTS, HIGHER-ORDER, OPERATORS, KERNELS



Denna post skapades 2008-12-15.
CPL Pubid: 81494

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur