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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}(-Î_k)^s}f(x) - e^{-a_j(-Î_k)^s}f(x) \Big…
math.FA2025
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…