arXiv subjects

Nguyen Duc Duyet

Publications and source records attributed to Nguyen Duc Duyet.

2 recordsLinked to original sources

arXiv2019

Two Weighted estimates for multilinear Hausdorff Operators on the Morrey-Herz Spaces

The purpose of this paper is to establish some neccessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some two weighted function spaces such as the two weighted Morrey, Herz and Morrey-Herz spaces. Moreover, some sufficient conditions for the boundedness of multilinear Hausdorff operators on the such spaces with respect to the Muckenhoupt weights are also given.

math.FA↗

arXiv2018

Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators

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.

math.FA↗