Lin Zheng

collaborators

3 papers

math.CA2026

From generalized PoincarÃ© to PoincarÃ©-Sobolev inequalities via self-improving methods

Alejandro Claros, Carlos PÃ©rez, Linfei Zheng

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

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 CalderÃ³n-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 $I^º > 0$ . This paper aims to investigate the two-w…

From generalized PoincarÃ© to PoincarÃ©-Sobolev inequalities via self-improving methods

The bilinear cone multiplier on R2×R2

New Sparse Domination and Weighted Estimates for Fractional Operators Beyond CalderÃ³n-Zygmund Theory

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