Cora Sadosky

Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures

A scale of BMO spaces appears naturally in product spaces corresponding to the different, yet equivalent, characterizations of the class of functions of bounded mean oscillation in one variable. S.-Y. Chang and R. Fefferman characterized product BMO, the dual of the (real) Hardy spaceHRe1 on product domains, in terms of Carleson measures. Here we describe two other BMO spaces, one contained in and the other containing product BMO, in terms of Carleson measures and Hankel operators. Both of these spaces play a significant role in harmonic analysis of the polydisk and in multivariable operator theory.

Two distinguished subspaces of product BMO and Nehari-AAK theory for Hankel operators on the torus

AbstractIn this paper we show that the theory of Hankel operators in the torus

Conservative Input-State-Output Systems with Evolution on a Multidimensional Integer Lattice

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A lifting theorem for subordinated invariant kernels

d, ford>1, presents striking differences with that on the circle

Toeplitz liftings of Hankel forms bounded by non-Toeplitz norms

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Conservative linear systems, unitary colligations and Lax–Phillips scattering: multidimensional generalizations

, starting with bounded Hankel operators with no bounded symbols. Such differences are circumvented here by replacing the space of symbolsL∞(