Siberian Mathematical Journal

, Volume 50, Issue 1, pp 167–180 | Cite as

Compactness of the Hardy-Littlewood operator on some spaces of harmonic functions

Article
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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

harmonic function unit ball Hardy-Littlewood operator boundedness compactness 
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Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Mathematical Institute of the Serbian Academy of ScienceBelgradeSerbia

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