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The measure of non-compactness and approximation numbers of certain Volterra integral operators

✍ Scribed by D. E. Edmunds; V. D. Stepanov

Publisher
Springer
Year
1994
Tongue
English
Weight
789 KB
Volume
298
Category
Article
ISSN
0025-5831

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πŸ“œ SIMILAR VOLUMES

On the Singular Numbers of Certain Volte
On the Singular Numbers of Certain Volterra Integral Operators
✍ D.E. Edmunds; V.D. Stepanov πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 542 KB

A criterion for a certain class of integral operators to belong to Schatten-von Neumann symmetric normed ideals is given. In particular, when \(2 \leqslant p<\infty\), it is shown that the Schatten \(p\)-norm of such an operator can be estimated by constant multiples of an integral expression which

On a measure of non–compactness for maxi
On a measure of non–compactness for maximal operators
✍ D. E. Edmunds; A. Meskhi πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 146 KB

## Abstract It is proved that there is no weight pair (__v,w__) for which the Hardy–Littlewood maximal operator defined on a domain Ξ© in **R**^__n__^ is compact from the weighted Lebesgue space __L^p^~w~__(Ξ©) to __L^p^~v~__ (Ξ©). Results of a similar character are also obtained for the fractional ma

Generalized Entropy Numbers and Gelfand
Generalized Entropy Numbers and Gelfand Numbers – an Approach to the Entropy Behaviour of Certain Integral Operators
✍ Bernd Carl; Irmtraud Stephani πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 865 KB

An essential point of view was of course the question how generalized entropy numbers and entropy ideals can be employed for getting informations about the usual entropy numbers e,(T) and thus about the degree of compactness of an operator T in the usual sense. It turned out that reiteration and fac