Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces

Details Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces

2008-02-05

arxiv.org/abs/0802.0598v1

Mathematics

Classical Analysis and ODEs

5 pages

Scientific paper

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.

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