[PDF.85ra] Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion

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

[PDF.cv32] Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion

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 |  2002-04-01 | Original language:English | PDF # 1 |  9.75 x6.75 x.50l,.43 | Binding: Mass Market Paperback | 87 pages

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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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