A new characterization of the interpolation spaces between Lp and Lp

Jonathan Arazy; Michael Cwikel

doi:10.7146/math.scand.a-12080

A new characterization of the interpolation spaces between Lp and Lp

Jonathan Arazy, Michael Cwikel

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that a normed space X is an interpolation space with respect to the couple (L”, L“) if and only if it is an interpolation space with respect to each of the couples (L', L) and (L”, LTM). The case of spaces with weights is also discussed. Examples are given showing that analogous results do not hold in a more general setting.

Original language	English
Pages (from-to)	253-270
Number of pages	18
Journal	Mathematica Scandinavica
Volume	55
Issue number	2
DOIs	https://doi.org/10.7146/math.scand.a-12080
State	Published - 1984

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abstract = "It is shown that a normed space X is an interpolation space with respect to the couple (L”, L“) if and only if it is an interpolation space with respect to each of the couples (L', L) and (L”, LTM). The case of spaces with weights is also discussed. Examples are given showing that analogous results do not hold in a more general setting.",

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AB - It is shown that a normed space X is an interpolation space with respect to the couple (L”, L“) if and only if it is an interpolation space with respect to each of the couples (L', L) and (L”, LTM). The case of spaces with weights is also discussed. Examples are given showing that analogous results do not hold in a more general setting.

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DO - 10.7146/math.scand.a-12080

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JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

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A new characterization of the interpolation spaces between Lp and Lp

Abstract

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