Ji Li

activity

20242026

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8 papers · 1 filter

math.CA2026

Two-weight T1 theorem for fractional Riesz transforms: one measure supported on a $C^{1, Dini}$ curve

Ji Li, Chun-Yen Shen, Eric Sawyer +1

Let $0 \leq α < n$ , and let $σ$ and $ω$ be locally finite positive Borel measures on $R^{n}$ , possibly with common point masses. Suppose that one measure is supported on a compact regul…

math.CA2026

On the endpoint estimate for discrete spherical average over sparse sequences

Sanghyuk Lee, Ji Li, Chong-Wei Liang +2

Let $d \geq 5$ , and let $A_{λ}$ denote the normalized discrete spherical average on $Z^{d}$ with squared radius $λ$ . For a strictly increasing sequence $(μ_{k})$ of positive intege…

math.CA2026

Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights

Ji Li, Chong-Wei Liang, Chaojie Wen +1

Let $α > - 1/2$ , $α \neq = 0$ , and let $Δ_{α} = - \frac{d ^{2}}{d x ^{2}} - \frac{2 α}{x} \frac{d}{d x}$ be the Bessel operator on $R_{+} = (0, \infty)$ . We characterize boundedness and compactness…

math.CA2026

Maximal functions with twisted structures, distribution inequality and applications

Ji Li, Chong-Wei Liang, Chaojie Wen +1

Motivated by the geometric reduction of Cauchy--Szegő projections on quadratic surfaces of higher codimension (Nagel--Ricci--Stein, 2001) and recent developments on the real-variab…

math.CA2026

Twisted Multiparameter singular integrals -- real variable methods and applications, I

Zunwei Fu, Ji Li, Chong-Wei Liang +2

In this paper, we introduce a class of twisted multiparameter singular integrals on $R^{2 m}$ , motivated by the Cauchy--Szegő projections and the solving operators for $\ba…

math.CA2026

Maximal Averages on the Affine Group $G_{n}$ and applications

Ji Li, Chun-Yen Shen, Chaojie Wen

Let $G_n=\mathbb R^n\rtimes\mathbb R_+$ be equipped with the left Haar measure $ dμ(x,y)=\frac{dx\,dy}{y^{n+1}}. $ We study maximal averages associated with three basic motions…

math.CA2025

Lacunary $δ$ -Discretised Spherical Maximal Operators

Surjeet Singh Choudhary, Ji Li, Chong-Wei Liang +1

We study the lacunary analogue of the $δ$ -discretised spherical maximal operators introduced by Hickman and Jančar, for $δ \in (0, 1/2)$ , and establish the boundedness on $L^{p}$ for…

math.CA2024

Muckenhoupt-Type Weights and Quantitative Weighted Estimate in the Bessel Setting

Ji Li, Chong-Wei Liang, Chun-Yen Shen +1

Part of the intrinsic structure of singular integrals in the Bessel setting is captured by Muckenhoupt-type weights. Anderson--Kerman showed that the Bessel Riesz transform is boun…

Two-weight T1 theorem for fractional Riesz transforms: one measure supported on a C1,Dini curve

On the endpoint estimate for discrete spherical average over sparse sequences

Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights

Maximal functions with twisted structures, distribution inequality and applications

Twisted Multiparameter singular integrals -- real variable methods and applications, I

Maximal Averages on the Affine Group Gn​ and applications

Lacunary δ-Discretised Spherical Maximal Operators

Muckenhoupt-Type Weights and Quantitative Weighted Estimate in the Bessel Setting

Two-weight T1 theorem for fractional Riesz transforms: one measure supported on a $C^{1, Dini}$ curve

Maximal Averages on the Affine Group $G_{n}$ and applications

Lacunary $δ$ -Discretised Spherical Maximal Operators