Weak And Strong Boundedness For P-adic Fractional Hausdorff Operator And Its Commutator
Functional Analysis
2019-11-22 v1
Abstract
In this paper, boundedness of Hausdorff operator on weak central Morrey space is obtained. Furthermore, we investigate the weak bounds of p- adic fractional Hausdorff Operator on weighted p-adic weak Lebesgue Space. We also obtain the sufficient condition of commutators of p-adic fractional Hausdorff Operator by taking symbol function from Lipschitz space. Moreover, strong type estimates for fractional Hausdorff Operator and its commutator on weighted p-adic Lorentz space are also acquired.
Keywords
Cite
@article{arxiv.1911.09392,
title = {Weak And Strong Boundedness For P-adic Fractional Hausdorff Operator And Its Commutator},
author = {Naqash Sarfraz and Ferit Gurbuz},
journal= {arXiv preprint arXiv:1911.09392},
year = {2019}
}