0465750 - MÚ 2017 RIV GB eng J - Článek v odborném periodiku
Engliš, Miroslav - Zhang, G.
Hankel operators and the Dixmier trace on the Hardy space.
Journal of the London Mathematical Society. Roč. 94, č. 2 (2016), s. 337-356. ISSN 0024-6107. E-ISSN 1469-7750
Institucionální podpora: RVO:67985840
Klíčová slova: Hankel operators
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.895, rok: 2016 ; AIS: 1.398, rok: 2016
Web výsledku:
http://jlms.oxfordjournals.org/content/94/2/337DOI: https://doi.org/10.1112/jlms/jdw037

We give criteria for the membership of Hankel operators on the Hardy space on the disc in the Dixmier class, and establish estimates for their Dixmier trace. In contrast to the situation in the Bergman space setting, it turns out that there exist Dixmier-class Hankel operators that are not measurable (that is, their Dixmier trace depends on the choice of the underlying Banach limit), as well as Dixmier-class Hankel operators that do not belong to the (1,infty) Schatten–Lorentz ideal. A related question concerning logarithmic interpolation of Besov spaces is also discussed.
Trvalý link: http://hdl.handle.net/11104/0264190