Feng Zhang

collaborators

3 papers

math.CA2025

Endpoint estimates for the fractal circular maximal function and related local smoothing

Sanghyuk Lee, Luz Roncal, Feng Zhang +1

Sharp $L^{p}$ -- $L^{q}$ estimates for the spherical maximal function over dilation sets of fractal dimensions, including the endpoint estimates, were recently proved by Anderson--Hughes…

math.CA2024

A note on generalized spherical maximal means

Feng Zhang

The goal of this note is to provide an alternative proof of Theorem 1.1 (i) in [4], that is, if $n \geq 2$ and $M^{I^} \pm$ is bounded on $L^{p} (R^{n})$ for some $Î±\in \mathbb{C…

math.CA2024

Variational inequalities for generalized spherical means

Wenjuan Li, Dongyong Yang, Feng Zhang

In this paper, we establish the $L^{p} (R^{d})$ -boundedness of the variation operator and the $I^´$ -jump operator for generalized spherical means, and we also show the neces…