LOCALIZATION OPERATORS RELATED TO α-WINDOWED FOURIER TRANSFORM

作     者：Catană, Viorel Flondor, Ioana-Maria Scumpu, Mihaela-Graţiela 

作者机构：Department of Mathematics-Informatics Faculty of Applied Sciences University POLITEHNICA of Bucharest Splaiul Independenței 313 Bucharest Romania 

出 版 物：《UPB Scientific Bulletin, Series A: Applied Mathematics and Physics》 (UPB Sci Bull Ser A)

年 卷 期：2024年第86卷第4期

页      面：11-22页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Mathematical operators 

摘      要：In this paper, we introduce the localization operators Lασ,,ψ:L2(R) → L2(R) related to α-WFT, where , ψ ∈ L2(R) \ {0} are two window functions and σ ∈ Lp(R2), 1 ≤ p ≤ ∞ is a symbol. We study the L2-boundedness, compactness and Schatten-von Neumann properties for this class of linear operators. We establish a two sided estimate for the trace class norm of localization operators when σ ∈ L1(R2). Moreover, we can prove that those inequalities are sharp when = ψ and σ is a real-valued and non-negative function in L1(R2). Finally, an inequality regarding the trace class norm of the power n of a product of two localization operators is given. © 2024, Politechnica University of Bucharest. All rights reserved.