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arXiv · 1702.05714

Continuity properties for Born-Jordan operators with symbols in H\"ormander classes and modulation spaces

Maurice de Gosson·Joachim Toft
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Abstract

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

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Maurice de Gosson, Joachim Toft. 2017-02-19. Continuity properties for Born-Jordan operators with symbols in H\"ormander classes and modulation spaces. https://arxiv.org/abs/1702.05714

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