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Hardy's Inequality for the n-Dimensional Hankel Transform
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Hardy's Inequality for the n-Dimensional Hankel Transform

M. Assal and S. Belhaj
Analysis mathematica (Budapest), Vol.47(3), pp.483-492
01/09/2021

Abstract

Mathematics Physical Sciences Science & Technology
The purpose of this paper is to prove a Hardy type inequality associated with the n-dimensional Hankel transform (n >= 1) for the exponent sigma(0) = n(2 - p) + n(2v + 1) by using the atomic decomposition. Moreover, we extend this inequality for "small" atoms to exponents sigma satisfying sigma(min) <= sigma <= sigma(max).

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