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Title of Journal: Math Z

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Abbravation: Mathematische Zeitschrift

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Springer-Verlag

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DOI

10.1002/zaac.200870065

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1432-1823

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Generalized Liouville differentiation truncated h

Authors: E Belinsky W Trebels
Publish Date: 2003/10/20
Volume: 246, Issue: 1-2, Pages: 339-357
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Abstract

Starting from known characterizations of potential spaces and of the approximation behavior of the Riesz means explicit descriptions of Kfunctionals based on diverse potential spaces defined via radial generalized Liouville or anisotropic differentiation are given in terms of truncated hypersingular integrals In particular Trigub’s 8 characterization of the Kfunctional is extended to Kaljabin’s 5 general potential spaces

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