7 papers
Failure of the estimate for the lacunary bilinear spherical maximal function and applications
Sanghyuk Lee, Ji Li, Chaojie Wen +1
In contrast to Christ's theorem that the lacunary spherical maximal operator is bounded from to (), we show that the lacunary…
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…
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…
Sharp weighted estimates for the Bessel Riesz transform and its commutator with Andersen--Kerman weights
Chaojie Wen
Let , , and let be the Bessel operator on studied by Muckenhoupt and Stein (TAMS 1965). An…
Chamber lifting and non-radial Dunkl multipliers
Der-Chen Chang, Ji Li, Chaojie Wen +1
We study non-radial Dunkl multipliers via chamber lifting. For an arbitrary finite reflection group , the chamber lifting records all reflected values of a function and conjugat…
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…
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…