Vol. 150, No. 1, 1991

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Bounded Hankel forms with weighted norms and lifting theorems

Takahiko Nakazi

Vol. 150 (1991), No. 1, 123–137
Abstract

Bounded Hankel forms with respect to weighted norms are studied. The Nehari’s theorem about the norms of the classical Hankel forms is generalized. This is essentially a lifting theorem due to Cotlar and Sadosky. Moreover a theorem about the essential norms of Hankel forms is proved. This relates with a theorem of Adamjan, Arov and Krein in the special case and gives a new lifting theorem which has applications to weighted norm inequalities, and the F. and M. Riesz theorem.

Mathematical Subject Classification 2000
Primary: 47B35
Secondary: 47A99, 47B99
Milestones
Received: 1 October 1987
Revised: 26 September 1990
Published: 1 September 1991
Authors
Takahiko Nakazi