5 papers · 1 filter
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…
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…
Twisted bilinear spherical maximal functions
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava
We obtain estimates for the full and lacunary maximal functions associated to the twisted bilinear spherical averages given by \[\mathfrak{A}_t(f_1,f_2)(x,y)=\int_{\mathbb S^…
estimates for uncentered spherical averages and lacunary maximal functions
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava +1
The primary goal of this paper is to introduce bilinear analogues of uncentered spherical averages, Nikodym averages associated with spheres and the associated bilinear maximal fun…