Hankel operators and the Dixmier trace on the Hardy space

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00465750" target="_blank" >RIV/67985840:_____/16:00465750 - isvavai.cz</a>
Alternative codes found
RIV/47813059:19610/16:N0000155
Result on the web
<a href="http://dx.doi.org/10.1112/jlms/jdw037" target="_blank" >http://dx.doi.org/10.1112/jlms/jdw037</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1112/jlms/jdw037" target="_blank" >10.1112/jlms/jdw037</a>

Result language
angličtina
Original language name
Hankel operators and the Dixmier trace on the Hardy space
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0426" target="_blank" >GAP201/12/0426: Function theory and operator theory in Bergman spaces and their applications</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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