L^p-boundedness of the Bochner-Riesz operator

2025/01/22 by Zipeng Wang, Wang, Zipeng
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Mathematical Analysis and Transform Methods #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.2501.12742

Abstract

In this paper, we give a new approach to the Bochner-Riesz summability. As a result, we show that the Bochner-Riesz operator S^δ, 0<\Reδ<1\over 2 is bounded on L^p(ℝⁿ) for n-1\over 2n≤ 1\over p≤n+1\over 2n.

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