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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.AP2026
Boundary estimates for the fractional spherical maximal function
Riju Basak, Surjeet Singh Choudhary, Daniel Spector
In this article, we study the fractional spherical maximal function and its lacunary counterpart. We study the necessary and sufficient conditions for boundedness of both…