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arXiv · 2304.11792

Mixed radial-angular bounds for Hardy-type operators on Heisenberg groups

Zhongci Hang·Xiang Li·Dunyan Yan
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Abstract

In this paper, we will study $n$-dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg groups and obtain their sharp bounds by using the rotation method. Furthermore, the sharp bounds of $n$-dimensional weighted Hardy operator and weighted Ces\`{a}ro operator are also obtained.

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Zhongci Hang, Xiang Li, Dunyan Yan. 2023-04-24. Mixed radial-angular bounds for Hardy-type operators on Heisenberg groups. https://arxiv.org/abs/2304.11792

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