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Item Details
Title: APPROXIMATION AND ENTROPY NUMBERS OF VOLTERRA OPERATORS WITH APPLICATION TO BROWNIAN MOTION
By: Mikhail A. Lifshits, Werner Linde
Format: Paperback

List price: £58.50


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ISBN 10: 082182791X
ISBN 13: 9780821827918
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 March, 2002
Series: Memoirs of the American Mathematical Society No. 157
Pages: 87
Description: We consider the Volterra integral operator $T_{\rho,\psi}:L_p(0,\infty)\to L_q(0,\infty)$ for $1
Synopsis: 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
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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