Title: Hausdorff operators on real hardy spaces H¹ over homogeneous spaces with local doubling property
Authors: Mirotin, A.R.
Миротин, А.Р.
Issue Date: 2021
Citation: Mirotin A.R. Hausdorff Operators on Real Hardy Spaces H¹ Over Homogeneous Spaces With Local Doubling Property / A.R. Mirotin // Analysis Mathematica. – 2021. – 47 (2). – P. 385-403.
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. Special cases of the hyperbolic plane and 2-sphere are considered. In this cases Hausdorff operators look as orbital like integrals.
URI: http://elib.gsu.by/jspui/handle/123456789/28601
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