论文标题
$τ$ -Wigner发行的加权调制空间上的边界表征
Characterization of boundedness on weighted modulation spaces of $τ$-Wigner distributions
论文作者
论文摘要
本文专门为$τ$ -WIGNER分布的界限提供了几个更一般水平的特征，该分布从加权调制空间到加权调制和Wiener amalgam空间。作为应用程序，在具有功率重量的调制空间上获得了$τ$ -Wigner分布的界限。我们还重新捕获\ cite {corderonicola2018imrni，cordero2020a}获得的wigner分布的主要定理。结果，建立了几种类型的伪差运算符的加权调制空间上的界限表征。特别是，我们为伪差异操作员的界限提供了尖锐的指数，并在Sjöstrand的类别和相应的Wiener Amalgam空间中提供了符号。
This paper is devoted to give several characterizations on a more general level for the boundedness of $τ$-Wigner distributions acting from weighted modulation spaces to weighted modulation and Wiener amalgam spaces. As applications, sharp exponents are obtained for the boundedness of $τ$-Wigner distributions on modulation spaces with power weights. We also recapture the main theorems of Wigner distribution obtained in \cite{CorderoNicola2018IMRNI,Cordero2020a}. As consequences, the characterizations of the boundedness on weighted modulation spaces of several types of pseudodifferential operators are established. In particular, we give the sharp exponents for the boundedness of pseudodifferential operators with symbols in Sjöstrand's class and the corresponding Wiener amalgam spaces.
