Fractional integration associated with second order divergence operators on R^n
Fractional integration associated with second order divergence operators on R^n作者机构：Department of MathematicsZhongshan University
出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)
年 卷 期：2003年第46卷第3期
页 面：355-363页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：This work was supported by the National Natural Science Foundation of China(Grant No.1017111) Foundation of Advanced Research Center,Zhongshan University
主 题：fractional integral second order divergence operator semigroup Hardy- Littlewood- Sobolev theorem
摘 要：The classical Hardy-Littlewood-Sobolev theorems for Riesz potentials (?Δ)?α/2 are extended to the generalised fractional integrals L –α/2 for 0 α n, where L=?div A? is a uniformly complex elliptic operator with bounded measurable coefficients in ?n.
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