Kalachand Shuin

collaborators

3 papers

math.CA2024

$l^{2}$ Decoupling for certain degenerate surfaces in $R^{4}$

Kalachand Shuin

In this article, we aim to study decoupling inequality for a specific degenerate hypersurface in $R^{4}$ . Inspired by the work of Bourgain--Demeter and Li--Zheng, we conside…

math.CA2024

Improved curvature conditions on $L^{2} \times \dots \times L^{2} \to L^{2/ m}$ bounds for multilinear maximal averages

Chuhee Cho, Jin Bong Lee, Kalachand Shuin

In this article, we focus on $L^{2} (R^{d}) \times \dots \times L^{2} (R^{d}) \to L^{2/ m} (R^{d})$ estimates for multilinear maximal averages over non-degene…

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}…

l2 Decoupling for certain degenerate surfaces in R4

Improved curvature conditions on L2×⋯×L2→L2/m bounds for multilinear maximal averages

Sparse bounds for maximal oscillatory rough singular integral operators

$l^{2}$ Decoupling for certain degenerate surfaces in $R^{4}$

Improved curvature conditions on $L^{2} \times \dots \times L^{2} \to L^{2/ m}$ bounds for multilinear maximal averages