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Bulletin of the London Mathematical Society Advance Access originally published online on February 19, 2009
Bulletin of the London Mathematical Society 2009 41(2):293-301; doi:10.1112/blms/bdn125
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© 2009 London Mathematical Society

Higher-order Kato class potentials for Schrödinger operators

Quan Zheng

Department of Mathematics
Huazhong University of Science and Technology
Wuhan 430074
P.R. China

Xiaohua Yao

Department of Mathematics
Huazhong Normal University
Wuhan 430079
P.R. China
yaoxiaohua@mail.ccnu.edu.cn

Received 6 April 2007. Revision received 25 September 2008.

This paper is concerned with characterizations and approximation properties of higher-order Kato class K{alpha}(Rn) introduced by Davies and Hinz, as well as the applications to higher-order Schrödinger operators with such potentials.

2000 Mathematics Subject Classification 31B15, 35J10.

This project was supported by the National Science Foundation of China (Grant No. 10671079, 10801057).


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