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Pseudo-differential calculi and entropy estimates with Orlicz modulation spaces
University of Vienna, Austria.
Imperial College London, UK.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
İstanbul University, Türkiye.
2024 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 286, no 3, article id 110225Article in journal (Refereed) Published
Abstract [en]

We deduce continuity properties for pseudo-differential operators with symbols in Orlicz modulation spaces when acting on other Orlicz modulation spaces. In particular we extend well-known results in the literature. For example we generalize the classical result by Cordero and Nicola that if [Formula presented], pj,qj⩽q′,q⩽p and a∈Mp,q, then the pseudo-differential operator Op(a) is continuous from Mp to Mp. We also show that the entropy functional Eϕ possess suitable continuity properties on a suitable Orlicz modulation space MΦ satisfying Mp⊆MΦ⊆M2, though Eϕ is discontinuous on M2=L2. 

Place, publisher, year, edition, pages
Elsevier, 2024. Vol. 286, no 3, article id 110225
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-126078DOI: 10.1016/j.jfa.2023.110225ISI: 001112096400001Scopus ID: 2-s2.0-85176240932OAI: oai:DiVA.org:lnu-126078DiVA, id: diva2:1821408
Funder
Swedish Research Council, 2019-04890Available from: 2023-12-20 Created: 2023-12-20 Last updated: 2024-10-23Bibliographically approved

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Toft, Joachim

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