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math.CA2025
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…
math.CO2025
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…