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Continuity Properties for Born-Jordan Operators with Symbols in Hörmander Classes and Modulation Spaces
Univ Vienna, Austria.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
2020 (English)In: Acta Mathematica Scientia, ISSN 0252-9602, E-ISSN 1003-3998, Vol. 40, no 6, p. 1603-1626Article in journal (Refereed) Published
Abstract [en]

We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when Hormander symbols and certain types of modulation spaces are used as symbol classes. We use these properties to carry over continuity, nuclearity and Schatten-von Neumann properties to the Born-Jordan calculus.
Place, publisher, year, edition, pages
Springer, 2020. Vol. 40, no 6, p. 1603-1626
Keywords [en]
quantization, Schatten-von Neumann, Feffermann-Phong's inequality, 81Sxx
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-98737DOI: 10.1007/s10473-020-0601-zISI: 000576574200001Scopus ID: 2-s2.0-85092377707OAI: oai:DiVA.org:lnu-98737DiVA, id: diva2:1498893
Available from: 2020-11-05 Created: 2020-11-05 Last updated: 2021-05-06Bibliographically approved

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Toft, Joachim

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