Atomic characterization of the Hardy space 
of one-dimensional Schrödinger operators with nonnegative potentials
Authors:
Wojciech Czaja and Jacek Zienkiewicz
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
Published electronically:
October 12, 2007
MathSciNet review:
2350392
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Given a Schrödinger operator 
on 
with nonnegative potential 
, we present an atomic characterization of the associated Hardy space 
.
- 1. Jacek Dziubański and Jacek Zienkiewicz, Hardy spaces 𝐻¹ for Schrödinger operators with certain potentials, Studia Math. 164 (2004), no. 1, 39–53. MR 2079769, https://doi.org/10.4064/sm164-1-3
- 2. A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences, vol. 44, Springer-Verlag, New York, 1983. MR 710486
- 3. Elias M. Stein, Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals, Princeton Mathematical Series, vol. 43, Princeton University Press, Princeton, NJ, 1993. With the assistance of Timothy S. Murphy; Monographs in Harmonic Analysis, III. MR 1232192
for Schrödinger operators with certain potentials, Studia Math. 164 (2004), 39-53. Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35J10, 42B25, 42B30, 47D03
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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
DOI:
https://doi.org/10.1090/S0002-9939-07-09096-X
Keywords:
Atomic decompositions,
Hardy spaces,
Schr\"{o}dinger operators
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
Article copyright:
© Copyright 2007
American Mathematical Society