The K-functional of certain pairs of rearrangement invariant spaces

Jonathan Arazy

doi:10.1017/S0004972700025739

The K-functional of certain pairs of rearrangement invariant spaces

Jonathan Arazy

Department of Mathematics

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

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 expression where ψ is the inverse of the fundamental function_M of M, defined by [formula omitted].

Original language	English
Pages (from-to)	249-257
Number of pages	9
Journal	Bulletin of the Australian Mathematical Society
Volume	27
Issue number	2
DOIs	https://doi.org/10.1017/S0004972700025739
State	Published - Apr 1983

ASJC Scopus subject areas

General Mathematics

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title = "The K-functional of certain pairs of rearrangement invariant spaces",

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 expression where ψ is the inverse of the fundamental functionM of M, defined by [formula omitted].",

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AB - 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 expression where ψ is the inverse of the fundamental functionM of M, defined by [formula omitted].

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ER -

The K-functional of certain pairs of rearrangement invariant spaces

Abstract

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