Open AccessBoundedness of Multidimensional Dunkl-Hausdorff Operators
Author(s) -
Radouan Daher,
Faouaz Saadi
Publication year - 2020
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2020/1071746
Subject(s) - algorithm , computer science , artificial intelligence
In the present paper, we introduce the multidimensional Dunkl-Hausdorff operatorℋ κand we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spacesL κ pℝ nand in the Hardy spaceH κ 1ℝ nassociated with the Dunkl operators. We also determine the Dunkl-Hausdorff operatorℋ κ ∗that is adjoint toℋ κ.