LOGARITHMIC INTERPOLATION METHODS AND MEASURE OF NON-COMPACTNESS-Reference-Cited by-同舟云学术

LOGARITHMIC INTERPOLATION METHODS AND MEASURE OF NON-COMPACTNESS

Published:2019-12-02 Issue:1 Volume:71 Page:73-95
ISSN:0033-5606
Container-title:The Quarterly Journal of Mathematics
language:en
Short-container-title:

Author:

Besoy Blanca F¹,Cobos Fernando¹

Affiliation:

1. Departamento de Análisis Matemático y Matemática Aplicada, Facultad de Matemáticas, Universidad Complutense de Madrid, Plaza de Ciencias 3, 28040 Madrid, Spain

Abstract

Abstract We derive interpolation formulae for the measure of non-compactness of operators interpolated by logarithmic methods with $\theta = 0,1$ between quasi-Banach spaces. Applications are given to operators between Lorentz–Zygmund spaces.

Funder

Agencia Estatal de Investigación y Fondo Europeo de Desarrollo Regional

Spanish Ministerio de Educación, Cultura y Deporte

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/qjmath/article-pdf/71/1/73/32907259/haz041.pdf

Reference46 articles.

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2. On Lorentz–Zygmund spaces;Bennett;Diss. Math.,1980

3. Interpolation Spaces

4. On compactness theorems for logarithmic interpolation methods;Besoy

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