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

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

Author
M. A. Lifshits, Werner Linde
Publisher
Amer Mathematical Society
Language
English
Year
2002
Page
87
ISBN
082182791X,9780821827918
File Type
djvu
File Size
819.6 KiB

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 $e_n(T_{ ho, psi})$ satisfy $c_1 orm{ hopsi}_r0$.

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