On the boundedness of Hausdorff operators on real Hardy spaces H¹ over homogeneous spaces of groups with local doubling property

2020/07/20 by А. Р. Миротин, Mirotin, A. R.
Mathematics · #Advanced Harmonic Analysis Research #Mathematical Analysis and Transform Methods #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.2007.10836

Abstract

We give conditions for boundedness of Hausdorff operators on real Hardy spaces H¹ over homogeneous spaces of locally compact groups with local doubling property. The special case of the hyperbolic plane is considered.

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