μ -Hankel operators on Hilbert spaces

• Autorzy: Mirotin Adolf , Kuzmenkova Ekaterina

Identyfikatory

DOI

10.7494/OpMath.2021.41.6.881

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Hankel operator; Hardy space; integral representation; nuclear operator; integral operator

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2021
• Tom: Vol. 41, no. 6
• Strony: 881--898
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Mirotin Adolf

• F. Skorina Gomel State University Department of Mathematics and Programming Technologies 246019, Sovietskaya, 104, Gomel, Belarus
• Regional Mathematical Center Southern Federal University Rostov-on-Don, 344090 Russia

• https://orcid.org/0000-0001-7340-4522

autor

Kuzmenkova Ekaterina

• F. Skorina Gomel State University Department of Mathematics and Programming Technologies 246019, Sovietskaya, 104, Gomel, Belarus

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).