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- W2950376261 abstract "Let ${K_t}_{t>0}$ be the semigroup of linear operators generated by a Schrodinger operator $-L=Delta - V(x)$ on $mathbb R^d$, $dgeq 3$, where $V(x)geq 0$ satisfies $Delta^{-1} Vin L^infty$. We say that an $L^1$-function $f$ belongs to the Hardy space $H^1_L$ if the maximal function $mathcal M_L f(x) = sup_{t>0} |K_tf(x)|$ belongs to $L^1(mathbb R^d) $. We prove that the operator $(-Delta)^{1slash 2} L^{-1slash 2}$ is an isomorphism of the space $H^1_L$ with the classical Hardy space $H^1(mathbb R^d)$ whose inverse is $L^{1slash 2} (-Delta)^{-1slash 2}$. As a corollary we obtain that the space $H^1_L$ is characterized by the Riesz transforms $R_j=frac{partial}{partial x_j}L^{-1slash 2}$." @default.
- W2950376261 created "2019-06-27" @default.
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- W2950376261 date "2013-10-08" @default.
- W2950376261 modified "2023-09-27" @default.
- W2950376261 title "A characterization of Hardy spaces associated with certain Schrodinger operators" @default.
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