Revista Matemática Iberoamericana

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Volume 2, Issue 1, 1986, pp. 55–71
DOI: 10.4171/RMI/25

Published online: 1986-03-31

Lifting Properties, Nehari Theorem and Paley Lacunary Inequality

M. Cotlar[1] and C. Sadosky[2]

(1) Central University of Venezuela, Caracas, Venezuela
(2) Howard University, Washington, USA

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 $\mathbb Z$, and applied for refining and extending the Nehari theorem and the Paley lacunary inequality.

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Cotlar M., Sadosky C.: Lifting Properties, Nehari Theorem and Paley Lacunary Inequality. Rev. Mat. Iberoam. 2 (1986), 55-71. doi: 10.4171/RMI/25