期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 388, 期 2, 页码 817-837出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2011.10.006
关键词
Schrodinger operator; Reverse Holder inequality; Fractional derivatives; Regularity estimates in Holder spaces; Harmonic extensions; Campanato spaces
资金
- Ministerio de Ciencia e Innovacion de Espana [MTM2008-06621-C02-01]
- National Natural Science Foundation of China [11071190]
- Planes Riojanos de I+D+I [COLABORA 2010/01]
Let L be a Schrodinger operator of the form L = -del + V, where the nonnegative potential V satisfies a reverse Holder inequality. Using the method of L-harmonic extensions we study regularity estimates at the scale of adapted Holder spaces. We give a pointwise description of L-Holder spaces and provide some characterizations in terms of the growth of fractional derivatives of any order and Carleson measures. Applications to fractional powers of L and multipliers of Laplace transform type developed. (C) 2011 Elsevier Inc. All rights reserved.
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