A. R. Mirotin, E. Yu. Kuzmenkova
Published 2016-11-20Version 1
Two variants of generalizations of Hankel operators to the case of linearly ordered abelian groups are considered, criteria of the boundedness and compactness of these operators are given, among them in terms of functions of bounded mean oscillation, the nonfredholmness of generalized Hankel operators is proved. Some applications to the theory of Toeplitz operators on groups are given.
Functions of bounded mean oscillation and Hankel operators on compact abelian groups
The semi-commutator of Toeplitz operators on the bidisc
Fredholm and spectral properties of Toeplitz operators on $H^p$ spaces over ordered groups
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