Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators
Functional Analysis
2018-07-25 v1
Abstract
In this paper, we give necessary and sufficient conditions for the boundedness of rough Hausdorff operators on Herz, Morrey and Morrey-Herz spaces with absolutely homogeneous weights. Especially, the estimates for operator norms in each case are worked out. Moreover, we also establish the boundedness of the commutators of rough Hausdorff operators on the such spaces with their symbols belonging to Lipschitz space.
Keywords
Cite
@article{arxiv.1807.08893,
title = {Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators},
author = {Nguyen Minh Chuong and Dao Van Duong and Nguyen Duc Duyet},
journal= {arXiv preprint arXiv:1807.08893},
year = {2018}
}