Boundedness of Multidimensional Dunkl-Hausdorff Operators

In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces and in the Hardy space associated with the Dunkl operators. We also determine the Dunkl-Hausdorff operator that is adjoint to