Some estimates for rough Hausdorff operators on the Heisenberg group
Journal
The Journal of Analysis
ISSN
1425–1445
Date Issued
2022
Author(s)
Kieu Huu Dung, Dao Van Duong
DOI
https://doi.org/10.1007/s41478-022-00523-w
Abstract
The purposes of this article is to establish some necessary and sufficient conditions for the boundedness of the rough Hausdorff operators on weighted Herz, central Morrey and Morrey–Herz spaces on the Heisenberg group. By applying the block decomposition method, the authors also obtain the boundedness of the rough Hausdorff operators on weighted Herz spaces for the case p 2 ð0; 1Þ.