Xudong Nie

collaborators

2 papers

math.CA2025

Sharp variational inequalities for average operators over finite type curves in the plane

Xudong Nie

The aim of this article is to establish the $L^{p} (R^{2})$ -boundedness of the variational operator associated with averaging operators defined over finite type curves in the p…

math.CA2023

Rearrangement inequalities of the one-dimensional maximal functions associated with general measures

Xudong Nie, Di Wu, Panwang Wang

We prove a rearrangement inequality for the uncentered Hardy-Littlewood maximal function $M_{μ}$ associate to general measure $μ$ on $R$ . This inequality is analogous to the…