RETRACTED ARTICLE: Poisson-type inequalities for growth properties of positive superharmonic functions

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.

Retraction Note: New applications of Schrödingerean Green potential to boundary behaviors of superharmonic functions

“…The Editors-in-Chief have retracted this article because it shows significant overlap with an article by different authors that was simultaneously under consideration with another journal [1]. The article also shows evidence of authorship manipulation and peer review manipulation.…”

New Poisson inequality for the Radon transform of infinitely differentiable functions

“…In 2014, Yang and Ren also obtained more general sufficient conditions by weakening the above condition in [ 24 ]. Recently, Luan and Vieria established the first necessary and sufficient condition in the time domain and a parallel result in the frequency domain for the Poisson inequality in [ 16 ].…”

“…Following the definition in [ 16 ], a function φ belongs to the space ( ) if and only if ; ( ), where consists of infinitely differentiable functions, where and . …”

“…In [ 16 ], Luan and Vieira proved that the total Radon transform is a linear homeomorphism from onto itself, as well as if ( ), then and the Radon transform H defined above is a linear isomorphism from onto itself.…”