Continuity of Wigner-type operators on Lorentz spaces and Lorentz mixed normed modulation spaces
TURKISH JOURNAL OF MATHEMATICS, vol.38, no.4, pp.728-745, 2014 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 38 Issue: 4
- Publication Date: 2014
- Doi Number: 10.3906/mat-1311-43
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.728-745
- Keywords: tau-Wigner transform, tau-Weyl operators, Lorentz spaces, Lorentz mixed normed spaces, Lorentz mixed normed modulation spaces, TIME-FREQUENCY ANALYSIS
- Open Archive Collection: AVESIS Open Access Collection
- Ondokuz Mayıs University Affiliated: Yes
Abstract
We study various continuity properties for tau-Wigner transform on Lorentz spaces and tau-Weyl operators W-tau(a) with symbols belonging to appropriate Lorentz spaces. We also study the action of tau-Wigner transform on Lorentz mixed normed modulation spaces.