3 citations · 4 across the 6 of their papers we have counts for
6 papers
Dimension-free weak estimates for Riesz transforms with constant drift
Suman Mukherjee
Let on , where is a constant drift vector. We prove that the full vector Riesz transform…
Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces
The Anh Bui, Xueting Han, Suman Mukherjee
Let be the Dunkl Laplacian on the Euclidean space associated with a normalized root system and a multiplicity function , . We establish a…
Weighted variational inequalities for the fractional Dunkl heat semigroup
Suman Mukherjee
We investigate the convergence properties of the family of operators $$ \mathcal{T}_{\bf N} f(x)=\sum_{j=N_1}^{N_2} v_j\Bigl( e^{-a_{j+1}(-Δ_k)^s}f(x) - e^{-a_j(-Δ_k)^s}f(x) \Bigr)…
Large time behavior of the fractional heat equation associated with the Dunkl Laplacian
Suman Mukherjee
We consider the fractional heat equation associated with the Dunkl Laplacian and prove that the weak solutions to this equation converge to the fundamental solution as time becomes…
On the boundedness of Dunkl multipliers
Suman Mukherjee, Sundaram Thangavelu
In this article we use Littlewood-Paley-Stein theory to prove two versions of Dunkl multiplier theorem when the multiplier satisfies a modified Hörmander condition. When $ m…
Weighted Bilinear Multiplier Theorems in Dunkl Setting via Singular Integrals
Suman Mukherjee, Sanjay Parui
The purpose of this article is to present one and two-weight inequalities for bilinear multiplier operators in Dunkl setting with multiple Muckenhoupt weights. In order to do so, n…