Chong-Wei Liang

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20212026

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math.CA2025

Lacunary $δ$ -Discretised Spherical Maximal Operators

Surjeet Singh Choudhary, Ji Li, Chong-Wei Liang +1

We study the lacunary analogue of the $δ$ -discretised spherical maximal operators introduced by Hickman and Jančar, for $δ \in (0, 1/2)$ , and establish the boundedness on $L^{p}$ 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…

Lacunary δ-Discretised Spherical Maximal Operators

On Pinned Falconer Distance Problem for Cartesian Product Sets: the Parabolic Method

Lacunary $δ$ -Discretised Spherical Maximal Operators