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arXiv · 2102.09859

Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups

A. R. Mirotin
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Abstract

The aim of this note is to give the boundedness conditions for Hausdorff operators on Hardy spaces $H^{1}$ with the norm defined via $(1,q)$ atoms over homogeneous spaces of Lie groups with doubling property and to apply results we obtain to generalized Delsarte operators and to Hausdorff operators over multidimensional spheres.

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BibTeXRIS

A. R. Mirotin. 2021-02-19. Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups. https://arxiv.org/abs/2102.09859

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