Asymptotic behavior of fractional Laplacians in the half space
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摘要
In this article, we first give the asymptotic behaviors of fractional Laplacians in the half space of . Next, we discuss the weighted boundary limits of modified fractional Laplacians. The asymptotic behaviors hold outside an explicitly defined exceptional set, whose size can be controlled and set to be as small as required. The estimation of the asymptotic behavior is the generalization of the argument reported in Qiao and Deng (2010).
论文关键词:Poisson integral,Fractional Laplace operator,Asymptotic behavior,Exceptional set
论文评审过程:Available online 20 January 2015.
论文官网地址:https://doi.org/10.1016/j.amc.2014.12.051