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

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

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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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