ABSTRACT

In this article, we present some boundedness results of fractional Hankel transform on Gelfand–Shilov spaces of type S. Certain inequalities are obtained for pseudo-differential operators involving the fractional Hankel transform on Gelfand–Shilov spaces of type S. This article made further discussion on the continuity properties of fractional Hankel transform and pseudo-differential operator on some ultradifferentiable function spaces.

中文翻译：

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与S型空间上的分数阶Hankel变换相关的伪微分算子的估计

摘要

在本文中，我们介绍了S型Gelfand-Shilov空间上的分数阶Hankel变换的有界性结果。对于涉及S型Gelfand-Shilov空间上的分数阶Hankel变换的伪微分算符，获得了某些不等式。本文进行了进一步的讨论。分数Hankel变换和伪微分算子在某些超微分函数空间上的连续性