Continuity of Wigner-type operators on Lorentz spaces and Lorentz mixed normed modulation spaces

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Sandıkçı A.

TURKISH JOURNAL OF MATHEMATICS, vol.38, no.4, pp.728-745, 2014 (SCI-Expanded) identifier identifier

  • 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
  • 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.