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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Additional Information
- Wojciech Czaja
- Affiliation: Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland
- Address at time of publication: Department of Mathematics, University of Maryland, College Park, Maryland 20742
- Email: wojtek@math.umd.edu
- Jacek Zienkiewicz
- Affiliation: Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384, Wrocław, Poland
- Email: zenek@math.uni.wroc.pl
- Received by editor(s): August 25, 2005
- Published electronically: October 12, 2007
- Additional Notes: The first author was supported in part by European Commission grant MEIF-2003-500685.
- Communicated by: Michael T. Lacey
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 89-94
- MSC (2000): Primary 35J10, 42B25, 42B30; Secondary 47D03
- DOI: https://doi.org/10.1090/S0002-9939-07-09096-X
- MathSciNet review: 2350392