Approximation and entropy numbers of Volterra operators with application to Brownian motion
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Bibliographic Information
Approximation and entropy numbers of Volterra operators with application to Brownian motion
（Memoirs of the American Mathematical Society, no. 745）
American Mathematical Society, 2002
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Note
"May 2002, volume 157, number 745 (first of 5 numbers)"
Includes bibliography (p. 86-87)
Description and Table of Contents
Description
We consider the Volterra integral operator $T_{\rho,\psi}:L_p(0,\infty)\to L_q(0,\infty)$ for $10$. 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
Table of 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.
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