Zengjian Lou

activity

20142024

collaborators

3 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.CV2023

Duality for $α$ -Möbius invariant Besov spaces

Guanlong Bao, Zengjian Lou, Xiaojing Zhou

For $1 \leq p \leq \infty$ and $α > 0$ , Besov spaces $B_{α}^{p}$ play a key role in the theory of $α$ -Möbius invariant function spaces. In some sense, $B_{α}^{1}$ is the minimal $α$ -Möbius inv…

math.CV2014

Analytic version of critical $Q$ spaces and their properties

Pengtao Li, Junming Liu, Zengjian Lou

In this paper, we establish an analytic version of critical spaces $Q_{α}^{β} (R^{n})$ on unit disc $D$ , denoted by $Q_{p}^{β} (D)$ . Further we prove a relation…

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

Duality for α-Möbius invariant Besov spaces

Analytic version of critical Q spaces and their properties

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

Duality for $α$ -Möbius invariant Besov spaces

Analytic version of critical $Q$ spaces and their properties