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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 1, Pages 205–221
(Mi smj1950)
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This article is cited in 15 scientific papers (total in 15 papers)
Compactness of the Hardy–Littlewood operator on some spaces of harmonic functions
S. Stević Mathematical Institute, Serbian Academy of Sciences and Arts
Abstract:
We study the compactness of the Hardy–Littlewood operator on several spaces of harmonic functions on the unit ball in $\mathbb R^n$ such as: $\alpha$-Bloch, weighted Hardy, weighted Bergman, Besov, $BMO_p$, and Dirichlet spaces.
Keywords:
harmonic function, unit ball, Hardy–Littlewood operator, boundedness, compactness.
Received: 22.02.2007
Citation:
S. Stević, “Compactness of the Hardy–Littlewood operator on some spaces of harmonic functions”, Sibirsk. Mat. Zh., 50:1 (2009), 205–221; Siberian Math. J., 50:1 (2009), 167–180
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Abstract page: | 460 | Full-text PDF : | 127 | References: | 75 | First page: | 14 |
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