Boundedness and compactness of localization operators for Weinstein–Wigner transform

Ahmed Saoudi; Bochra Nefzi

doi:10.1007/s11868-020-00328-0

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Journal article

Boundedness and compactness of localization operators for Weinstein–Wigner transform

Ahmed Saoudi and Bochra Nefzi

Journal of pseudo-differential operators and applications, Vol.11(2), pp.675-702

01/06/2020

DOI: https://doi.org/10.1007/s11868-020-00328-0

Abstract

Algebra

Analysis

Applications of Mathematics

Article

Functional Analysis

Mathematics

Mathematics and Statistics

Operator Theory

Partial Differential Equations

In this paper, we define and study the notion of localization operators associated with the Weinstein–Wigner transform. We prove that they are in the trace class S 1 and give a trace formula for them. At last, we study their boundedness and compactness on L α p ( R + d + 1 ) , 1 ≤ p ≤ ∞ .

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Title: Boundedness and compactness of localization operators for Weinstein–Wigner transform
Creators - without role: Ahmed Saoudi - Northern Border University
Bochra Nefzi - Al Jouf University
Publication Details: Journal of pseudo-differential operators and applications, Vol.11(2), pp.675-702
Publisher: Springer International Publishing
Identifiers: 9913034108331
Academic Unit: Al Jouf University; Northern Borders University
Language: English
Resource Type: Journal article