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<p>The continuous fractional Hankel transform and its inverse are studied on certain Beurling type spaces. Various mapping properties of pseudo-differential operators are discussed exploiting the theory of fractional Hankel transform on suitably designed Beurling type spaces. Statement of relevance: Pseudo-differential operators are the generalization of partial differential operators. Pseudo-differential operators can sometimes be used to find solutions of certain differential equations; more frequently, they are used to find estimates on the size of solutions through the boundedness properties of the operator on certain function spaces. In this article, we have obtained boundedness results of Pseudo-differential operator on Beurling type spaces.</p>

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Norm Inequalities of Pseudo-differential Operators associated with Fractional Hankel Transform on Beurling Like Spaces

  • 期刊论文

  • 发表日期：

    2026年2月4日

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  • Kanailal Mahato,
  • Durgesh Pasawan

摘要

The continuous fractional Hankel transform and its inverse are studied on certain Beurling type spaces. Various mapping properties of pseudo-differential operators are discussed exploiting the theory of fractional Hankel transform on suitably designed Beurling type spaces. Statement of relevance: Pseudo-differential operators are the generalization of partial differential operators. Pseudo-differential operators can sometimes be used to find solutions of certain differential equations; more frequently, they are used to find estimates on the size of solutions through the boundedness properties of the operator on certain function spaces. In this article, we have obtained boundedness results of Pseudo-differential operator on Beurling type spaces.