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Erschienen in:
2009 | OriginalPaper | Buchkapitel
On Some Classical Operators of Variable Order in Variable Exponent Spaces
verfasst von : Stefan Samko
Erschienen in: Analysis, Partial Differential Equations and Applications
Verlag: Birkhäuser Basel
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We give a survey of a selection of recent results on weighted and non-weighted estimations of classical operators of Harmonic Analysis in variable exponent Lebesgue, Morrey and Hölder spaces, based on the talk presented at International Conference
Analysis, PDEs and Applications
on the occasion of the 70th birthday of Vladimir Maz’ya, Rome, June 30–July 3, 2008. We touch both the Euclidean case and the general setting within the frameworks of quasimetric measure spaces. Some of the presented results are new.