Author

Suman Mukherjee

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Preprint Oct 2026

$L^p$ estimates for Dunkl--Schr\"odinger operators

We study the Dunkl--Schr\"odinger operator $L=-\Delta_k+V$ on $\mathbb R^N$, $N>2$, where $V$ is a nonnegative potential in the reverse H\"older class ${\rm RH}^q(dw)$, $q>\mathbf N/2$, and $\mathbf N$ is the homogeneous dimension. We establish decay estimates for the resolvent kernel in terms of the critical radius an...

Agnieszka Hejna-Łyżwa, Suman Mukherjee · 0 citations

Preprint Sep 2026

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

Let $L_v=-\Delta-2v\cdot\nabla$ on $L^2(\mathbb R^n,e^{2v\cdot x}\,dx)$, where $v\in\mathbb R^n\setminus\{0\}$ is a constant drift vector. We prove that the full vector Riesz transform $\nabla L_v^{-1/2}$ satisfies a weak-type $(1,1)$ estimate for real-valued functions with constant at most $2$, uniformly in both the d...

Suman Mukherjee · 1 citation