Suman Mukherjee

collaborators

3 papers

math.AP2026

Fractional Leibniz rules for the Dunkl Laplacian in Besov and Triebel--Lizorkin spaces

The Anh Bui, Xueting Han, Suman Mukherjee

Let $L$ be the Dunkl Laplacian on the Euclidean space $R^{N}$ associated with a normalized root system $R$ and a multiplicity function $k (ν) \geq 0$ , $ν \in R$ . We establish a…

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.AP2026

Large time behaviour 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…