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

Authors: AYŞE SANDIKÇI

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.

Keywords: \tau-Wigner transform, \tau-Weyl operators, Lorentz spaces, Lorentz mixed normed spaces, Lorentz mixed normed modulation spaces

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