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 | |
【 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.
【 授权许可】
Free
【 预 览 】
Files | Size | Format | View |
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10_1016_j_jmaa_2011_10_006.pdf | 323KB | download |