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

Approximation and Entropy Numbers of Volterra Operators With Application to Brownian Motion - Memoirs of the American Mathematical Society

Paperback (30 Mar 2002)

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    Publisher's Synopsis

    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

    Book information

    ISBN: 9780821827918
    Publisher: American Mathematical Society
    Imprint: American Mathematical Society
    Pub date:
    DEWEY: 510 s
    DEWEY edition: 21
    Language: English
    Number of pages: 87
    Weight: 198g
    Height: 248mm
    Width: 171mm
    Spine width: 12mm

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