| Authors: | Stević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Compactness of the Hardy-Littlewood operator on some spaces of harmonic functions | Journal: | Siberian Mathematical Journal | Volume: | 50 | Issue: | 1 | First page: | 167 | Last page: | 180 | Issue Date: | 1-Jan-2009 | Rank: | M23 | ISSN: | 0037-4466 | DOI: | 10.1007/s11202-009-0019-2 | Abstract: | We study the compactness of the Hardy-Littlewood operator on several spaces of harmonic functions on the unit ball in R n such as: a-Bloch, weighted Hardy, weighted Bergman, Besov, BMO p , and Dirichlet spaces. |
Keywords: | Boundedness | Compactness | Hardy-Littlewood operator | Harmonic function | Unit ball | Publisher: | Springer Link |
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