Suman Mukherjee

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20232026

most citedWeighted Bilinear Multiplier Theorems in Dunkl Setting via Singular Integrals

3 citations · 4 across the 6 of their papers we have counts for

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math.FA2026

Dimension-free weak $(1, 1)$ estimates for Riesz transforms with constant drift

Suman Mukherjee

Let $L_{v} = - Δ - 2 v \cdot \nabla$ on $L^{2} (R^{n}, e^{2 v \cdot x} d x)$ , where $v \in R^{n} ∖ {0}$ is a constant drift vector. We prove that the full vector Riesz transform…

math.FA2026

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)…

math.FA2024★ 1 cited

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 $m$ satisfies a modified Hörmander condition. When $ m…

Dimension-free weak (1,1) estimates for Riesz transforms with constant drift

Weighted variational inequalities for the fractional Dunkl heat semigroup

On the boundedness of Dunkl multipliers

Dimension-free weak $(1, 1)$ estimates for Riesz transforms with constant drift