@Article{Mirotin2021,
author = "Mirotin, Adolf and Kuzmenkova, Ekaterina",
title = "μ-Hankel operators on Hilbert spaces",
journal = "Opuscula Math.",
year = "2021",
volume = "41",
number = "6",
pages = "881--898",
doi = "https://doi.org/10.7494/OpMath.2021.41.6.881",
url = "https://doi.org/10.7494/OpMath.2021.41.6.881",
abstract = "A class of operators is introduced (\(\mu\)-Hankel operators, \(\mu\) 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 \(|\mu| = 1\) their description in the Hardy space is given. Integral representations of \(\mu\)-Hankel operators on the unit disk and on the Semi-Axis are also considered.",
keywords = "Hankel operator, \(\mu\)-Hankel operator, Hardy space, integral representation, nuclear operator, integral operator",
issn = "1232-9274"
}