Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion
Download or Read eBook Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion PDF written by Mikhail Anatolʹevich Lifshit︠s︡ and published by American Mathematical Soc.. This book was released on 2002 with total page 103 pages. Available in PDF, EPUB and Kindle.
Author | : Mikhail Anatolʹevich Lifshit︠s︡ |
Publisher | : American Mathematical Soc. |
Total Pages | : 103 |
Release | : 2002 |
ISBN-10 | : 9780821827918 |
ISBN-13 | : 082182791X |
Rating | : 4/5 (18 Downloads) |
Book Synopsis Approximation and Entropy Numbers of Volterra Operators with Application to Brownian Motion by : Mikhail Anatolʹevich Lifshit︠s︡
Book excerpt: This text considers a specific Volterra integral operator and investigates its degree of compactness in terms of properties of certain kernel functions. In particular, under certain optimal integrability conditions the entropy numbers $e_n(T_{\rho, \psi})$ satisfy $c_1\norm{\rho\psi}_r0$.