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.