Boundedness of the Hausdorff operators in $H^p$ spaces, $0< p< 1$
Studia Mathematica 194 (2009), 279-292 MSC: 42A38, 42B30. DOI: 10.4064/sm194-3-4
Sufficient conditions for the boundedness of the Hausdorff operators in the Hardy spaces $H^p$, $0< p < 1$, on the real line are proved. Two related negative results are also given.