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arXiv · 2501.12742

L^p-boundedness of the Bochner-Riesz operator

Zipeng Wang
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Abstract

In this paper, we give a new approach to the Bochner-Riesz summability. As a result, we show that the Bochner-Riesz operator $\mathbf{S}^\delta, 0<\Re\delta<{1\over 2}$ is bounded on $\mathbf{L}^p(\mathbb{R}^n)$ for ${n-1\over 2n}\leq {1\over p}\leq{n+1\over 2n}$.

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Zipeng Wang. 2025-01-22. L^p-boundedness of the Bochner-Riesz operator. https://arxiv.org/abs/2501.12742

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