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Continuity and compactness for pseudo-differential operatorswith symbols in quasi-Banach spaces or Hörmander classes
Linnaeus University, Faculty of Technology, Department of Mathematics. (Matematisk modellering, Center för avancerade studier, ICMM)ORCID iD: 0000-0003-1921-8168
(English)In: Analysis and Applications, ISSN 1793-6861Article in journal (Refereed) Epub ahead of print
Abstract [en]

We deduce continuity and Schatten–von Neumann properties for operators with matrices satisfying mixed quasi-norm estimates with Lebesgue and Schatten parameters in (0, ∞]. We use these results to deduce continuity and Schatten–von Neumann properties for pseudo-differential operators with symbols in quasi-Banach modulation spaces, or in appropriate H ̈ormander classes. 

Keyword [en]
Schatten-von Neumann, quasi-Banach, modulation spaces, Hörmander classes, matrices.
National Category
Mathematical Analysis
Research subject
Mathematics, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61873DOI: 10.1142/S0219530516500159OAI: oai:DiVA.org:lnu-61873DiVA: diva2:1084988
Projects
Matematisk modellering, ICMM
Note

Tillgänglig online sedan år 2016

Available from: 2017-03-27 Created: 2017-03-27 Last updated: 2017-04-05

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Toft, Joachim
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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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