Generalized Product Hausdorff Operator on Two-Weighted Morrey–Herz Spaces

In this paper, we introduce the generalized product Hausdorff operator and study the boundedness of this operator on product two-weighted Morrey, Morrey–Herz spaces. As consequences, we obtain some results about the bounds of product Hausdorff operator associated with the Opdam–Cherednik transform and the sharp bounds for the product weighted Hardy–Littlewood average operator and the product Hardy–Cesàro operator on such spaces.

DOI 10.1134/S1061920824030063