μ-Hankel operators on Hilbert spaces
| Autor: | Adolf Mirotin, Ekaterina Kuzmenkova |
|---|---|
| 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 |
| Externí odkaz: |
|