Boundedness of the Hausdorff operators in $H^p$ spaces, $0< p< 1$

@inproceedings{Liflyand2009BoundednessOT,
  title={Boundedness of the Hausdorff operators in \$H^p\$ spaces, \$0< p< 1\$},
  author={E. Liflyand and Akihiko Miyachi},
  year={2009}
}
Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces H, 0 < p < 1, on the real line are proved. Two related negative results are also given.