Some Extensions of Optimal Interpolation in Spaces of Lorentz–Zygmund Type

Some Extensions of Optimal Interpolation in Spaces of Lorentz–Zygmund Type The results on optimal interpolation from [7] are extended to quasinormed spaces with p<1, to spaces with varying secondary parameters α, E and to spaces of functions defined on the interval (1,∞). As a tool for doing this, we construct special mappings which transform these cases into the basic one, considered in [7]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Some Extensions of Optimal Interpolation in Spaces of Lorentz–Zygmund Type

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Publisher
Kluwer Academic Publishers
Copyright
Copyright © 2002 by Kluwer Academic Publishers
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1023/A:1012036102057
Publisher site
See Article on Publisher Site

Abstract

The results on optimal interpolation from [7] are extended to quasinormed spaces with p<1, to spaces with varying secondary parameters α, E and to spaces of functions defined on the interval (1,∞). As a tool for doing this, we construct special mappings which transform these cases into the basic one, considered in [7].

Journal

PositivitySpringer Journals

Published: Oct 12, 2004

References

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