The purpose of this paper is to prove a Hardy type inequality associated with the n-dimensional Hankel transform (n ≥ 1) for the exponent σ₀ = n(2 − p) + n(2v + 1) by using the atomic decomposition. Moreover, we extend this inequality for “small” atoms to exponents σ satisfying σ_min ≤ σ ≤ σ_max.

中文翻译：

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n维Hankel变换的Hardy不等式

本文的目的是证明与相关联的Hardy型不等式Ñ维Hankel变换（Ñ ≥1）的指数σ ₀ = Ñ（2 - p）+ Ñ（2 v + 1）通过使用原子分解。此外，我们扩展这个不等式“小”原子指数σ满足σ_分钟≤ σ ≤ σ_最大。