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Interpolation of weak type spaces

✍ Scribed by B. Jawerth; M. Milman

Publisher
Springer-Verlag
Year
1989
Tongue
French
Weight
471 KB
Volume
201
Category
Article
ISSN
0025-5874

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πŸ“œ SIMILAR VOLUMES

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Let T be an operator of weak types (a, b) and ( p, q), where a< p and b<q. The Marcinkiewicz interpolation theorem and its generalizations due to Boyd, Krein Semenov and others show that T maps certain rearrangement invariant spaces E which are ``not too close'' to L a or L p into certain spaces F.

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✍ Oleg Davydov; Manfred Sommer πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 214 KB

We present two characterizations of Lagrange interpolation sets for weak Chebyshev spaces. The first of them is valid for an arbitrary weak Chebyshev space U and is based on an analysis of the structure of zero sets of functions in U extending Stockenberg's theorem. The second one holds for all weak