6 papers
On the endpoint estimate for discrete spherical average over sparse sequences
Sanghyuk Lee, Ji Li, Chong-wei Liang +1
Let . For a lacunary sequence of radii in the \emph{highly composite} regime, that is with as ,…
Maximal functions with twisted structures, distribution inequality and applications
Ji Li, Chong-Wei Liang, Chaojie Wen +1
Motivated by the geometric reduction of Cauchy--SzegÅ projections on quadratic surfaces of higher codimension (Nagel--Ricci--Stein, 2001) and recent developments on the real-varia…
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--SzegÅ projections and the solving operators for $\b…
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 JanÄar, for , and establish the boundedness on f…
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…