| Title: | Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups |
| Authors: | Mirotin, A.R. Миротин, А.Р. |
| Keywords: | Hausdorff operator Lie group homogeneous space Hardy space generalized shift operator of Delsarte |
| Issue Date: | 2021 |
| Citation: | Mirotin, A.R. Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups / A.R. Mirotin // arXiv.org.math.FA. - 2021. - arXiv:2102.09859v. - P. [1-13]. |
| Abstract: | The aim of this note is to give the boundedness conditions for Hausdorff operators on Hardy spaces H1 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. |
| URI: | http://elib.gsu.by/jspui/handle/123456789/32301 |
| Appears in Collections: | Статьи |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Mirotin_Boundedness.pdf | 163.16 kB | Adobe PDF | View/Open |
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