CONTINUITY PROPERTIES FOR BORN-JORDAN OPERATORS WITH SYMBOLS IN H?RMANDER CLASSES AND MODULATION SPACES

• 作者: Maurice de GOSSON Joachim TOFT
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2020,（6）
• 页码范围: 1603-1626
• 页数: 24页
• 语种: 英文

摘要

We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when H?rmander symbols and certain types of modulation spaces are used as symbol classes. We use these properties to carry over continuity, nuclearity and Schatten-von Neumann properties to the Born-Jordan calculus.