Lin Zheng

activity

20232026

collaborators

4 papers

math.CA2026

From generalized Poincaré to Poincaré-Sobolev inequalities via self-improving methods

Alejandro Claros, Carlos Pérez, Linfei Zheng

We establish several improvements to the main results of [PR19] and [CP21], refining the seminal self-improving method for generalized Poincaré inequalities from [FPW98, MP98]. The…

math.CA2026

The bilinear cone multiplier on $R^{2} \times R^{2}$

Luz Roncal, Saurabh Shrivastava, Kalachand Shuin +1

In this paper, we study the bilinear cone multiplier operator in two dimensions. We establish $L^{p_{1}} \times L^{p_{2}} \to L^{p}$ boundedness for a regularized version of this operato…

math.CA2024

New Sparse Domination and Weighted Estimates for Fractional Operators Beyond Calderón-Zygmund Theory

The Anh Bui, Linfei Zheng

Let $L$ be a closed, densely defined operator on $L^{2} (R^{n})$ satisfying suitable $L^{p} - L^{q}$ off-diagonal estimates of order $κ > 0$ . This paper aims to investigate the two-we…

math.CA2023

Weak type $A_{p}$ estimate for bilinear Calderón-Zygmund operators

Linfei Zheng

In this paper, we investigate the boundedness of bilinear Calderón-Zygmund operators $T$ from $L^{p_{1}} (w_{1}) \times L^{p_{2}} (w_{2})$ to ${L^{p,\infty}\left(v_…

From generalized Poincaré to Poincaré-Sobolev inequalities via self-improving methods

The bilinear cone multiplier on R2×R2

New Sparse Domination and Weighted Estimates for Fractional Operators Beyond Calderón-Zygmund Theory

Weak type Ap​ estimate for bilinear Calderón-Zygmund operators

The bilinear cone multiplier on $R^{2} \times R^{2}$

Weak type $A_{p}$ estimate for bilinear Calderón-Zygmund operators