J. Aust. Math. Soc. 83 (2007), no. 1, pp. 79–86.

# Multidimensional Hausdorff operators on the real Hardy space

 A. K. Lerner E. Liflyand† Department of MathematicsBar-Ilan University52900 Ramat-GanIsraelaklerner@netvision.net.il Department of MathematicsBar-Ilan University52900 Ramat-GanIsraelliflyand@macs.biu.ac.il
Received 27 October 2005; revised 25 April 2006
Communicated by G. Willis

## Abstract

For a wide family of multivariate Hausdorff operators, the boundedness of an operator from this family is proved on the real Hardy space. By this we extend and strengthen previous results due to Andersen and Móricz.

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 2000 Mathematics Subject Classification: primary 47B38, 42B10; secondary 46E30 (Metadata: XML, RSS, BibTeX) MathSciNet: MR2354??? Z'blatt-MATH: pre05231333 †indicates author for correspondence

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