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Riesz transform characterization of Hardy spaces associated with Dunkl--Schrödinger operators

Hejna-Łyżwa, Agnieszka
arXiv (All) · Papers
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functional-analysis
Let $L=-Δ_k+V$ be a Schrödinger operator associated with the Dunkl Laplacian and a nonnegative potential. We characterize the Hardy space $H_L^1$, defined by the maximal operator of the semigroup generated by $-L$, in terms of the Riesz transforms associated with $L$. Under a local integral conditio
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