Function spaces and classes of pseudodifferential operators

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概要

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• We introduce a new class of selfadjoint compact pseudodifferential operators, which is analogous to a class of elliptic unbounded pseudodifferential operators and is, therefore, suitable for obtaining upper and lower estimates on the eigenvalues of operators in this class. We prove such estimates and, as an application, we show that any operator from this class belongs to the Schatten-von Neuman class if and only if its symbol belongs to the Lorentz space.

著者

• Czaja Wojciech

  Department Of Mathematics University Ofmaryland

• Rzeszotnik Ziemowit

  Department of Mathematics, University ofTexas

• Rzeszotnik Ziemowit

  Department Of Mathematics University Oftexas

関連論文

• Function spaces and classes of pseudodifferential operators

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