The K-functional of certain pairs of rearrangement invariant spaces

Author:

Arazy Jonathan

Abstract

Let X, Y be rearrangement invariant spaces and let M = M(Y, X) be the space of all multipliers of Y into X. It is shown that if X = YM and some technical conditions are satisfied, then the K-functional K(t, f, X, Y) is equivalent to the expressionwhere ψ is the inverse of the fundamental function ϕM of M, defined by

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. [5] Milman Mario , “The computation of the K-functional for couples of rearrangement invariant spaces”, submitted.

2. The K-functional for rearrangement invariant spaces

3. Interpolation Spaces

4. Classical Banach Spaces II

5. Interpolation of Quasi-Normed Spaces.

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