期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:388
Regularity properties of Schrodinger operators
Article
Ma, Tao3  Raul Stinga, Pablo4  Torrea, Jose L.1,2  Zhang, Chao3 
[1] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain
[2] ICMAT CSIC UAM UCM UC3M, E-28049 Madrid, Spain
[3] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[4] Univ La Rioja, Dept Matemat & Computac, Logrono 26006, Spain
关键词: Schrodinger operator;    Reverse Holder inequality;    Fractional derivatives;    Regularity estimates in Holder spaces;    Harmonic extensions;    Campanato spaces;   
DOI  :  10.1016/j.jmaa.2011.10.006
来源: Elsevier
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【 摘 要 】

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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