Interpolation of operators when the extreme spaces are $L^{∞}$

Jesús Bastero; Francisco Ruiz

ArticleOriginal scientific text

Title

Interpolation of operators when the extreme spaces are $L^{\infty}$

Authors ¹, ¹

Affiliations

Departamento de Matemáticas, Facultad de Ciencias, Universidad de Zaragoza, 50009 Zaragoza, Spain.

Abstract

Under some assumptions on the pair

(A_{0}, B_{0})

, we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are

L^{\infty}

. Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.

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Title

Interpolation of operators when the extreme spaces are L∞

Affiliations

Abstract

Bibliography

Interpolation of operators when the extreme spaces are $L^{\infty}$