Pointwise Estimates for Integral Kernels

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


This chapter focuses on pointwise estimates as well as regularity properties of various integral kernels of the integral operators discussed in the previous Chap.  4 We particularly derive estimates for integral operators induced by certain commutators. This chapter concludes with series representations and estimates of the resolvent kernel (essentially, a Hankel function of the first kind) of the Laplacian in \(L^{2}(\mathbb{R}^{n})\).


Integral Kernel Obtain Pointwise Estimates Resolvent Kernel Helmholtz Green's Function Sobolev Scale 
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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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