Abstract
In this paper, the Lvp(ℝ)-boundedness of the Dunkl–Hausdorff operator Hα,ϕ f(x)=∫ℝϕ(t)|t|2α+2fxtdt has been characterized and for a certain type of weight v, the operator norm ∥Hα,ϕ∥Lvp(ℝ)→Lvp(ℝ) has been obtained. This covers several of the existing results. Analogous results in two dimensions have also been proved.
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