Articles

CONTINUITY PROPERTIES FOR BORN-JORDAN OPERATORS WITH SYMBOLS IN HÖRMANDER CLASSES AND MODULATION SPACES

  • Maurice de GOSSON ,
  • Joachim TOFT
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  • 1. Faculty of Mathematics, NuHAG, University of Vienna, Vienna, Austria;
    2. Department of Mathematics, Linnæus University, Växjö, Sweden

Received date: 2019-09-06

  Revised date: 2020-05-13

  Online published: 2020-12-30

Supported by

Maurice de Gosson has been supported by the Austrian research agency FWF (grant number P27773).

Abstract

We show that the Weyl symbol of a Born-Jordan operator is in the same class as the Born-Jordan symbol, when Hörmander 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.

Cite this article

Maurice de GOSSON , Joachim TOFT . CONTINUITY PROPERTIES FOR BORN-JORDAN OPERATORS WITH SYMBOLS IN HÖRMANDER CLASSES AND MODULATION SPACES[J]. Acta mathematica scientia, Series B, 2020 , 40(6) : 1603 -1626 . DOI: 10.1007/s10473-020-0601-z

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