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μ -Hankel operators on Hilbert spaces

Mirotin Adolf, Kuzmenkova Ekaterina

Opuscula Mathematica

2021

Vol. 41, no. 6

881--898

A class of operators is introduced (μ -Hankel operators, μ is a complex parameter), which generalizes the class of Hankel operators. Criteria for boundedness, compactness, nuclearity, and finite dimensionality are obtained for operators of this class, and for the case |μ| = 1 their description in the Hardy space is given. Integral representations of ^-Hankel operators on the unit disk and on the Semi-Axis are also considered.