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arXiv · 2305.08180

Improved Stein inequalities for the Fourier transform

Erlan D. Nursultanov·Durvudkhan Suragan
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Abstract

In this paper, we present a refined version of the (classical) Stein inequality for the Fourier transform, elevating it to a new level of accuracy. Furthermore, we establish extended analogues of a more precise version of the Stein inequality for the Fourier transform, broadening its applicability from the range $1<p<2$ to $2\leq p<\infty$.

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Erlan D. Nursultanov, Durvudkhan Suragan. 2023-05-14. Improved Stein inequalities for the Fourier transform. https://arxiv.org/abs/2305.08180

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