%0 Journal Article %T Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces %A Elijah Liflyand %J Mathematics %D 2008 %I arXiv %X For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space $H^1$ by means of atomic decomposition. %U http://arxiv.org/abs/0802.0598v1