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Poisson-type inequalities for growth properties of positive superharmonic functions

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In this paper, we present new Poisson-type inequalities for Poisson integrals with continuous data on the boundary. The obtained inequalities are used to obtain growth properties at infinity of positive… Click to show full abstract

In this paper, we present new Poisson-type inequalities for Poisson integrals with continuous data on the boundary. The obtained inequalities are used to obtain growth properties at infinity of positive superharmonic functions in a smooth cone.

Keywords: superharmonic functions; positive superharmonic; growth properties; poisson type; type inequalities

Journal Title: Journal of Inequalities and Applications
Year Published: 2017

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