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Different methods of complex interpolation

Published online by Cambridge University Press:  17 April 2009

Laura Servidei
Laura Servidei
Affiliation:
Department of MathematicsUniversity of Chicago5734 S. University AveChicago IL 60637United States of America.
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Abstract

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We prove that the classic interpolation spaces of Calderón can be defined using spaces of functions that satisfy weaket conditions. For Calderón's second space we use a space of functions defined by Cwickel and Janson; we then modify their definition to find another space of functions which defines Calderón's first space.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 389 - 395
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Calderón, A.P., ‘Intermediate spaces and interpolation, the complex method’, Studia Math 24 (1964), 113–190.CrossRefGoogle Scholar
[2]Cwickel, M. and Janson, S., ‘Interpolation of analytic families of operators’, Studia Math. 79 (1984), 61–71.CrossRefGoogle Scholar
[3]Bergh, J. and Löfstöm, J., Interpolation Spaces An Introduction (Springer-Verlag, Berlin, Heidelberg, New York, 1976).CrossRefGoogle Scholar