Atomic characterization of the Hardy space 𝐻¹_{𝐿}(ℝ) of one-dimensional Schrödinger operators with nonnegative potentials

Czaja, Wojciech; Zienkiewicz, Jacek

doi:10.1090/S0002-9939-07-09096-X

Atomic characterization of the Hardy space $H^1_L(\mathbb R)$ of one-dimensional Schrödinger operators with nonnegative potentials
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by Wojciech Czaja and Jacek Zienkiewicz PDF

Proc. Amer. Math. Soc. 136 (2008), 89-94 Request permission

Abstract:

Given a Schrödinger operator $L=\frac {d^2}{dx^2}-V(x)$ on $\mathbb R$ with nonnegative potential $V$, we present an atomic characterization of the associated Hardy space $H_L^1 (\mathbb R)$.

References

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