Improved Stein inequalities for the Fourier transform
Nursultanov E.D. Suragan D.
March 2025Academic Press Inc.
Journal of Approximation Theory
2025#306
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
Fourier transform , Hardy–Littlewood–Stein inequality , Lorentz space , Stein inequality
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Department of Mathematics and Informatics, Lomonosov Moscow State University, Kazakhstan Branch, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Nazarbayev University, Kazakhstan
Department of Mathematics and Informatics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
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