Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Atomic characterization of the Hardy space $ H^1_L(\mathbb{R})$ 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
Published electronically: October 12, 2007
MathSciNet review: 2350392
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35J10, 42B25, 42B30, 47D03

Retrieve articles in all journals with MSC (2000): 35J10, 42B25, 42B30, 47D03


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: http://dx.doi.org/10.1090/S0002-9939-07-09096-X
PII: S 0002-9939(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