Ji Li

activity

20242026

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7 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…

stat.ME2026

An Algebraic Approach to Constrained K-means Clustering

Hiroki Oohori, Kentaro Fukushima, Michio Yamamoto

Clustering is typically performed using only object features, although additional information about relationships between objects may be available and can be incorporated through c…

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…

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

An Algebraic Approach to Constrained K-means Clustering

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

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