Erlan D. Nursultanov, Durvudkhan Suragan
Published 2023-05-14Version 1
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 $2\leq p<\infty$.
Tempered distributions and Fourier transform on the Heisenberg group
Mapping properties of Fourier transforms, revisited
A Selection of Distributions and Their Fourier Transforms with Applications in Magnetic Resonance Imaging
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