论文标题

注意wigner分布和定位运算符在准巴纳奇设置中

Note on the Wigner distribution and Localization Operators in the quasi-Banach setting

论文作者

Cordero, Elena

论文摘要

在过去的二十年中,时频分析在本地化运营商的发展中起着至关重要的作用。我们将其应用于此类运营商的界限和Schatten类财产的研究。特别是,展示了该运营商属于Schatten-von neumann类$ s_p $,$ 0 <p <1 $的新的足够条件。 作为副产品,还提出了Wigner分布的鲜明连续性结果。

Time-frequency analysis have played a crucial role in the development of localization operators in the last twenty years. We present its applications to the study of boundedness and Schatten Class property for such operators. In particular, new sufficient conditions for such operators to belong to the Schatten-von Neumann Class $S_p$, $0<p<1$, are exhibited. As a byproduct, sharp continuity results for the Wigner distribution are also presented.

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