Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Pseudo-differential calculus in a Bargmann setting
Univ Novi Sad, Serbia.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
2020 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, E-ISSN 1798-2383, Vol. 45, p. 227-257Article in journal (Refereed) Published
Abstract [en]

We give a fundament for Berezin's analytic Psi do considered in [4] in terms of Bargmann images of Pilipovic spaces. We deduce basic continuity results for such Psi do, especially when the operator kernels are in suitable mixed weighted Lebesgue spaces and act on certain weighted Lebesgue spaces of entire functions. In particular, we show how these results imply wellknown continuity results for real Psi do with symbols in modulation spaces, when acting on other modulation spaces.

Place, publisher, year, edition, pages
SUOMALAINEN TIEDEAKATEMIA , 2020. Vol. 45, p. 227-257
Keywords [en]
Analytic kernels, Berezin operators, Pilipovic spaces, modulation spaces, Gelfand-Shilov spaces
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-91802DOI: 10.5186/aasfm.2020.4512ISI: 000507460600010OAI: oai:DiVA.org:lnu-91802DiVA, id: diva2:1391354
Available from: 2020-02-04 Created: 2020-02-04 Last updated: 2020-02-04Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Toft, Joachim
By organisation
Department of Mathematics
In the same journal
Annales Academiae Scientiarum Fennicae Mathematica
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf