Approximation and Entropy Numbers of Volterra Operators with Application to Brownian...
by M. A. Lifshits and Werner Linde
List Price: $50.00 $50.00At Amazon on 12-5-2008
Mass Market Paperback: 87 pages
Publisher: American Mathematical Society April 1, 2002
Language: English
ISBN-10: 082182791X
ISBN-13: 978-0821827918
Product Dimensions:
9.8 x 6.8 x 0.5 inches
Shipping Weight: 7.2 ounces
Product 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
Approximation and Entropy Numbers of Volterra Operators with Application to Brownian...
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