Boundedness of Multidimensional Dunkl-Hausdorff Operators. (10th April 2020)

• Record Type: Journal Article
• Authors: Daher, Radouan; Saadi, Faouaz
• Other Names: Curto Raúl E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-04-10
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/1071746
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋ κ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces L κ p ℝ n and in the Hardy space H κ 1 ℝ n associated with the Dunkl operators. We also determine the Dunkl-Hausdorff operator ℋ κ ∗ that is adjoint to ℋ κ .