We prove two theorems showing connections between multipliers for the symmetrized Jacobi expansions and multipliers for the Dunkl transform on \(\mathbb{R}\). These results can be seen as generalizations of the classical Igari’s result relating Jacobi and Hankel multipliers. Moreover, we show a transference theorem relating Jacobi and Dunkl transplantations.

中文翻译：

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L p边界在对称Jacobi展开和Dunkl变换之间的转移

我们证明了两个定理，这些定理显示了对称的Jacobi展开的乘数与\（\ mathbb {R} \）上的Dunkl变换的乘数之间的联系。这些结果可以看作是经典Igari关于Jacobi和Hankel乘数的结果的推广。此外，我们展示了与Jacobi和Dunkl移植有关的转移定理。