2 papers
math.CA2023
Bilinear Bochner-Riesz means for convex domains and Kakeya Maximal function
Ankit Bhojak, Surjeet Singh Choudhary, Saurabh Shrivastava
In this paper we introduce bilinear Bochner-Riesz means associated with convex domains in the plane and study their boundedness properties for a wide range of e…
math.CA2023
Sparse bounds for maximal oscillatory rough singular integral operators
Surjeet Singh Choudhary, Saurabh Shrivastava, Kalachand Shuin
We prove sparse bounds for maximal oscillatory rough singular integral operator $$T^{P}_{Ω,*}f(x):=\sup_{ε>0} \left|\int_{|x-y|>ε}e^{ιP(x,y)}\frac{Ω\big((x-y)/|x-y|\big)}{|x-y|^{n}…