On some properties of a class of singular integrals
Toeplitz and Hankel forms related to unitary representations of the symplectic plane
Lifting properties, Nehari theorem and Paley lacunary inequality.
A general notion of lifting properties for families of sesquilinear forms is formulated. These lifting properties, which appear as particular cases in many classical interpolation problems, are studied for the Toeplitz kernels in Z, and applied for refining and extending the Nehari theorem and the Paley lacunary inequality.
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