Littlewood-Paley characterization for Campanato spaces

Azzeddine El Baraka
2006 Journal of Function Spaces and Applications  
The Littlewood-Paley characterization for the local approximation Campanato spacesLpαis well known in the casesα≥0andα=−np. We give in this paper a characterization of such a type forL2αspaces (and for Morrey-Campanato spacesL2,λ) for anyα≥−n2. These spaces contain as spacial cases the well known spacesBMOof John and Nirenberg and its local versionbmo.
doi:10.1155/2006/921520 fatcat:cfafu4l6lvf6thmmyreivudvxm