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1996 Embedding functions and their role in interpolation theory
Evgeniy Pustylnik
Abstr. Appl. Anal. 1(3): 305-325 (1996). DOI: 10.1155/S1085337596000164

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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Evgeniy Pustylnik. "Embedding functions and their role in interpolation theory." Abstr. Appl. Anal. 1 (3) 305 - 325, 1996. https://doi.org/10.1155/S1085337596000164

Information

Published: 1996
First available in Project Euclid: 7 April 2003

zbMATH: 0943.46009
MathSciNet: MR1485579
Digital Object Identifier: 10.1155/S1085337596000164

Subjects:
Primary: 46B70

Keywords: $K$-space , ‎embedding‎ , interpolation , operator of weak type

Rights: Copyright © 1996 Hindawi

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Vol.1 • No. 3 • 1996
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