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Embedding functions and their role in interpolation theory

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  • Evgeniy Pustylnik

Abstract

The embedding functions of an intermediate space A into a Banach couple (A0, A1) are defined as its embedding constants into the couples (1αA0,1βA1), ∀α, β > 0. Using these functions, we study properties and interrelations of different intermediate spaces, give a new description of all real interpolation spaces, and generalize the concept of weak‐type interpolation to any Banach couple to obtain new interpolation theorems.

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Handle: RePEc:wly:jnlaaa:v:1:y:1996:i:3:p:305-325
DOI: 10.1155/S1085337596000164
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