Approximation And Entropy Numbers Of Volterra Operators With Application To Brownian Motion
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Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion
Author: Mikhail Anatolʹevich Lifshit︠s︡
language: en
Publisher: American Mathematical Soc.
Release Date: 2002
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 $c_1\norm{\rho\psi}_r0$.
Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion
Introduction Main results Scale transformations Upper estimates for entropy numbers Lower estimates for entropy numbers Approximation numbers Small ball behaviour of weighted Wiener processes Appendix Bibliography.