论文标题

在准巴纳赫调制空间和应用程序上的伪差异映射幅度映射幅度类型的映射映射

Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

论文作者

Toft, Joachim, Bhimani, Divyang, Manna, Ramesh

论文摘要

我们推断出Gelfand-Shilov分布的调制空间的痕量特性。我们使用这些属性来表明在合适的调制空间中具有振幅的伪分辨率运算符,与正常类型的伪差异操作员一致,其符号属于(其他)调制空间。

We deduce trace properties for modulation spaces of Gelfand-Shilov distributions. We use these properties to show that pseudo-differential operators with amplitudes in suitable modulation spaces, agree with pseudo-differential operators of normal type whose symbols belong to (other) modulation spaces.

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