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ArticleOriginal scientific text

Title

Complex interpolation functors with a family of quasi-power function parameters

Authors 1

Affiliations

  1. Department of Mathematics, Uppsala University, Box 480, S-751 06 Uppsala, Sweden

Abstract

For the complex interpolation functors associated with derivatives of analytic functions, the Calderón fundamental inequality is formulated in both additive and multiplicative forms; discretization, reiteration, the Calderón-Lozanovskiĭ construction for Banach lattices, and the Aronszajn-Gagliardo construction concerning minimality and maximality are presented. These more general complex interpolation functors are closely connected with the real and other interpolation functors via function parameters which are quasi-powers with a logarithmic factor.

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Studia Mathematica
1994/111/3
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Pages:
283-305
Main language of publication
English
Received
1993-11-17
Accepted
1994-03-15
Published
1994
Exact and natural sciences