On Schatten–von Neumann Classes and Trace Class Estimates

  • Fritz Gesztesy
  • Marcus Waurick
Part of the Lecture Notes in Mathematics book series (LNM, volume 2157)


In this chapter we elaborate on Hilbert–Schmidt and trace class integral operators, the noncommutative Hölder inequality for Schatten–von Neumann ideals, and particularly, trace ideal estimates for operators consisting of various products of operators of multiplication and resolvents of the Laplacian in \(L^{2}(\mathbb{R}^{n})\).


Trace Class Integral Operator Technical Chapters Fourier Multiplier Complex Interpolation Well-known Characterization 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Fritz Gesztesy
    • 1
  • Marcus Waurick
    • 2
  1. 1.Dept of MathematicsUniversity of MissouriColumbiaUSA
  2. 2.Institut für AnalysisTU DresdenDresdenGermany

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