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math.CA2026
A curved three-point pattern problem for fractal sets on the real line
Surjeet Singh Choudhary, Chong-Wei Liang, Chun-Yen Shen
We study the occurrence of curved three-point configurations in fractal subsets of the real line. We prove that if \(E \subset [0,1]\) is a compact set with sufficiently large Haus…
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.CA2022
On the bilinear Bochner-Riesz problem at critical index
Surjeet Singh Choudhary, Saurabh Shrivastava
In this paper we study maximal and square functions associated with bilinear Bochner-Riesz means at the critical index. In particular, we prove that they satisfy weighted estimates…