# Approximation and Entropy Numbers of Volterra Operators With Application to Brownian Motion

Book - 2002
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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
Publisher: Providence, RI : American Mathematical Society, 2002
ISBN: 9780821827918
082182791X
Branch Call Number: QA3 .A57 no. 745
Characteristics: viii, 87 p. ; 26 cm

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