# Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion (Memoirs of the American Mathematical Society No. 157)

By: Werner Linde (author), Mikhail A. Lifshits (author)Paperback

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### Description

We consider the Volterra integral operator $T_{\rho,\psi}:L_p(0,\infty)\to L_q(0,\infty)$ for $1 0$. We also obtain similar sharp estimates for the approximation numbers of $T_{\rho,\psi}$, thus extending former results due to Edmunds et al. and Evans et al..The entropy estimates are applied to investigate the small ball behaviour of weighted Wiener processes $\rho W$ in the $L_q(0,\infty)$-norm, \$1

### Contents

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.

### Product Details

• publication date: 15/03/2002
• ISBN13: 9780821827918
• Format: Paperback
• Number Of Pages: 87
• ID: 9780821827918
• weight: 195
• ISBN10: 082182791X

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