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The composition of pseudo-differential operators is useful to find the properties of the product of pseudo-differential operators. Hörmander [1], Egorov [2], and Wong [3] gave important contributions in this area. Later on for Hankel transformation concerns, Pathak [4] found the product of two pseudo-differential operators and proved that it is bounded in certain Sobolev-type spaces. Using the same transform theory, Upadhyay [5] observed the properties of the product and commutator of pseudo-differential operators associated with homogeneous class of symbols involving the Hankel transform in \( L^{p} \) -norm sense.

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Composition of Pseudo-Differential Operators Involving the Weinstein Transform

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  • 发表日期：

    2026年

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  • Santosh Kumar Upadhyay,
  • Mohd Sartaj

摘要

The composition of pseudo-differential operators is useful to find the properties of the product of pseudo-differential operators. Hörmander [1], Egorov [2], and Wong [3] gave important contributions in this area. Later on for Hankel transformation concerns, Pathak [4] found the product of two pseudo-differential operators and proved that it is bounded in certain Sobolev-type spaces. Using the same transform theory, Upadhyay [5] observed the properties of the product and commutator of pseudo-differential operators associated with homogeneous class of symbols involving the Hankel transform in \( L^{p} \) -norm sense.