5 papers
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…
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…
Bilinear spherical maximal function with fractal dilations
Surjeet Singh Choudhary, Chun-Yen Shen, Saurabh Shrivastava
In this paper, we investigate boundedness of the bilinear spherical maximal function associated with a general set . We quantify the range of boundedness…
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…
Sparse Bounds for Discrete Maximal Functions associated with Birch-Magyar averages
Ankit Bhojak, Surjeet Singh Choudhary, Siddhartha Samanta +1
In this article, we study discrete maximal function associated with the Birch-Magyar averages over sparse sequences. We establish sparse domination principle for such operators. As…