Haixia Yu

collaborators

2 papers

math.CA2024

$L_{x}^{p} \to L_{x, u}^{q}$ estimates for dilated averages over planar curves

Junfeng Li, Naijia Liu, Zengjian Lou +1

In this paper, we consider the $L_{x}^{p} (R^{2}) \to L_{x, u}^{q} (R^{2} \times [1, 2])$ estimate for the operator $T$ along a dilated plane curve $(u t, u γ (t))$ , where $$…

math.CA2023

$L^{p}$ -improving bounds of maximal functions along planar curves

Naijia Liu, Haixia Yu

In this paper, we study the $L^{p} (R^{2})$ -improving bounds, i.e., $L^{p} (R^{2}) \to L^{q} (R^{2})$ estimates, of the maximal function $M_{γ}$ along a plane curv…

Lxp​→Lx,uq​ estimates for dilated averages over planar curves

Lp-improving bounds of maximal functions along planar curves

$L_{x}^{p} \to L_{x, u}^{q}$ estimates for dilated averages over planar curves

$L^{p}$ -improving bounds of maximal functions along planar curves