Hardy—Littlewood—Sobolev Inequalities with the Fractional Poisson Kernel and Their Applications in PDEs
Sign Up to like & getrecommendations! Published in 2019 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-019-8417-2
Abstract: The purpose of this paper is five-fold. First, we employ the harmonic analysis techniques to establish the following Hardy-Littlewood-Sobolev inequality with the fractional Poisson kernel on the upper half space $$\int_{\mathbb{R}_ + ^n} {{{\int_{\partial \mathbb{R}_… read more here.
Keywords: fractional poisson; hardy littlewood; mathbb; littlewood sobolev ... See more keywords
Poisson Kernel-Based Clustering on the Sphere: Convergence Properties, Identifiability, and a Method of Sampling
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Computational and Graphical Statistics"
DOI: 10.1080/10618600.2020.1740713
Abstract: ABSTRACT Spherical or directional data arise in many applications of interest. Furthermore, many nondirectional datasets can be usefully re-expressed in the form of directions and analyzed as spherical data. We have proposed a clustering algorithm… read more here.
Keywords: kernel based; method; clustering sphere; based clustering ... See more keywords