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Interpolation restricted to decreasing functions and Lorentz spaces*

Published online by Cambridge University Press:  20 January 2009

Joan Cerdà  and
Joaquim Martín
Joan Cerdà
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, E-08071 Barcelona, Spain, E-mail addresses: [email protected], [email protected]
Joaquim Martín
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, E-08071 Barcelona, Spain, E-mail addresses: [email protected], [email protected]
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For the real interpolation method, we identify the interpolated spaces of couples of classical Lorentz spaces through interpolation of the corresponding weighted Lp-spaces restricted to decreasing functions.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 42 , Issue 2 , June 1999 , pp. 243 - 256
Copyright
Copyright © Edinburgh Mathematical Society 1999

References

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