Improved Stein inequalities for the Fourier transform
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≤ p<∞.
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