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A Unified Theory of Commutator Estimates for a Class of Interpolation Methods

✍ Scribed by Michael Cwikel; Nigel Kalton; Mario Milman; Richard Rochberg

Book ID
102966985
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
587 KB
Volume
169
Category
Article
ISSN
0001-8708

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✦ Synopsis

A general family of interpolation methods is introduced which includes, as special cases, the real and complex methods and also the so-called AE or G 1 and G 2 methods defined by Peetre and Gustavsson-Peetre. Derivation operators O and translation operators R are introduced for all methods of this family. A theorem is proved about

πŸ“œ SIMILAR VOLUMES

A note on commutator estimates for inter
A note on commutator estimates for interpolation methods
✍ Joan CerdΓ  πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 140 KB πŸ‘ 1 views

## Abstract The aim of this note is to show how all the commutator estimates of two recent papers, by M. Cwikel, N. Kalton, M. Milman, and R. Rochberg and by N. Krugljak and M. Milman, can be considered as special cases of the method of couples of interpolators introduced by M. J. Carro, J. CerdΓ  a