Stević, Stevo Compactness of the Hardy-Littlewood operator on some spaces of harmonic functions. (Russian, English) Zbl 1222.47048 Sib. Mat. Zh. 50, No. 1, 205-221 (2009); translation in Sib. Math. J. 50, No. 1, 167-180 (2009). Summary: 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. Cited in 5 Documents MSC: 47B38 Linear operators on function spaces (general) 42B25 Maximal functions, Littlewood-Paley theory 46E15 Banach spaces of continuous, differentiable or analytic functions Keywords:harmonic function; unit ball; Hardy-Littlewood operator; boundedness; compactness PDFBibTeX XMLCite \textit{S. Stević}, Sib. Mat. Zh. 50, No. 1, 205--221 (2009; Zbl 1222.47048); translation in Sib. Math. J. 50, No. 1, 167--180 (2009) Full Text: EuDML EMIS