μ-Hankel operators on Hilbert spaces
Autor: | Adolf Mirotin, Ekaterina Kuzmenkova |
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Jazyk: | angličtina |
Rok vydání: | 2021 |
Předmět: | |
Zdroj: | Opuscula Mathematica, Vol 41, Iss 6, Pp 881-898 (2021) |
Druh dokumentu: | article |
ISSN: | 1232-9274 |
DOI: | 10.7494/OpMath.2021.41.6.881 |
Popis: | 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. |
Databáze: | Directory of Open Access Journals |
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