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Singular Numbers

  • David E. Edmunds
  • Vakhtang Kokilashvili
  • Alexander Meskhi
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 543)

Abstract

Necessary and sufficient conditions for weighted Volterra integral operators to belong to Schatten-von Neumann ideals are established. Similar problems are solved for Hardy-type transforms and for some operators of potential type defined on R n and on spaces of homogeneous type. Moreover, two-sided estimates of Schatten-von Neumann norms for these integral transforms are obtained. In the last section we give the asymptotic behaviour of singular numbers of Erdelyi-Köber and Hadamard operators.

Keywords

Integral Operator Singular System Orthonormal System Hankel Operator Entropy Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • David E. Edmunds
    • 1
  • Vakhtang Kokilashvili
    • 1
  • Alexander Meskhi
    • 2
  1. 1.Centre for Mathematical Analysis and its ApplicationUniversity of SussexSussexUK
  2. 2.A. Razmadze Mathematical InstituteGeorgian Academy of SciencesTbilisiGeorgia

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