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Characterizations of GRS-weights, and consequences in time-frequency analysis
Univ Valencia, Spain.
Univ Valencia, Spain.
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0003-1921-8168
2015 (English)In: Journal of Pseudo-Differential Operators and Applications, ISSN 1662-9981, E-ISSN 1662-999X, Vol. 6, no 3, p. 383-390Article in journal (Refereed) Published
Abstract [en]

Let v be a submultiplicative weight. Then we prove that v satisfies Gel'fand-Raikov-Shilov-condition, if and only if is bounded for every positive . We use this equivalence to establish identification properties between weighted Lebesgue spaces, and between certain modulation spaces and Gelfand-Shilov spaces.

Place, publisher, year, edition, pages
2015. Vol. 6, no 3, p. 383-390
Keyword [en]
GRS-condition, Gelfand-Shilov, Modulation spaces
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-46224DOI: 10.1007/s11868-015-0122-zISI: 000360040200005Scopus ID: 2-s2.0-84939438248OAI: oai:DiVA.org:lnu-46224DiVA: diva2:853205
Available from: 2015-09-11 Created: 2015-09-11 Last updated: 2017-12-04Bibliographically approved

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Toft, Joachim

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