Embedding functions and their role in interpolation theory

Evgeniy Pustylnik

Abstract and Applied Analysis, 1996, vol. 1, 1-21

Abstract:

The embedding functions of an intermediate space A into a Banach couple ( A 0 , A 1 ) are defined as its embedding constants into the couples ( 1 α A 0 , 1 β A 1 ) , ∀ 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.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:890303

DOI: 10.1155/S1085337596000164

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