Littlewood-Paley characterization for Campanato spaces

The Littlewood-Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α≥0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey-Campanato spaces L2,λ) for any α≥−n2. These spaces contain as spacial cases the well...

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Bibliographic Details
Main Author: Azzeddine El Baraka
Format: Article
Language:English
Published: Wiley 2006-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2006/921520
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Summary:The Littlewood-Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α≥0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey-Campanato spaces L2,λ) for any α≥−n2. These spaces contain as spacial cases the well known spaces BMO of John and Nirenberg and its local version bmo.
ISSN:0972-6802