Approximation and entropy numbers of Volterra operators with application to Brownian motion
著者
書誌事項
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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注記
"May 2002, volume 157, number 745 (first of 5 numbers)"
Includes bibliography (p. 86-87)
内容説明・目次
内容説明
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
目次
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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