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The K-functional of certain pairs of rearrangement invariant spaces

Published online by Cambridge University Press:  17 April 2009

Jonathan Arazy
Jonathan Arazy
Affiliation:
Department of Mathematics, University of Haifa, Haifa, Israel.
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Abstract

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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 ϕM of M, defined by

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 249 - 257
Copyright
Copyright © Australian Mathematical Society 1983

References

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