Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion

Released on by Mikhail Anatolʹevich Lifshit︠s︡
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  • Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion Book Detail

  • Author : Mikhail Anatolʹevich Lifshit︠s︡
  • Release Date : 2002
  • Publisher : American Mathematical Soc.
  • Genre : Computers
  • Pages : 103
  • ISBN 13 : 082182791X
  • File Size : 59,59 MB
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Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion by Mikhail Anatolʹevich Lifshit︠s︡ PDF Summary

Book Description: This text considers a specific Volterra integral operator and investigates its degree of compactness in terms of properties of certain kernel functions. In particular, under certain optimal integrability conditions the entropy numbers $e_n(T_{\rho, \psi})$ satisfy $c_1\norm{\rho\psi}_r0$.

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