10 papers
Two-weight T1 theorem for fractional Riesz transforms: one measure supported on a curve
Ji Li, Chun-Yen Shen, Eric Sawyer +1
Let , and let and be locally finite positive Borel measures on , possibly with common point masses. Suppose that one measure is supported on a compact regul…
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…
On the endpoint estimate for discrete spherical average over sparse sequences
Sanghyuk Lee, Ji Li, Chong-Wei Liang +2
Let , and let denote the normalized discrete spherical average on with squared radius . For a strictly increasing sequence of positive intege…
Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights
Ji Li, Chong-Wei Liang, Chaojie Wen +1
Let , , and let be the Bessel operator on . We characterize boundedness and compactness…
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…
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 , motivated by the Cauchy--Szegő projections and the solving operators for $\ba…
Maximal Averages on the Affine Group 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…
Lacunary -Discretised Spherical Maximal Operators
Surjeet Singh Choudhary, Ji Li, Chong-Wei Liang +1
We study the lacunary analogue of the -discretised spherical maximal operators introduced by Hickman and Jančar, for , and establish the boundedness on for…
On Pinned Falconer Distance Problem for Cartesian Product Sets: the Parabolic Method
Ji Li, Chong-Wei Liang, Chun-Yen Shen
The Falconer distance problem for Cartesian product sets was introduced and studied by Iosevich and Liu (\cite{MR3525385}). In this paper, by implementing a new observation on Cart…
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…