2 papers
math.CV2024
Green function for -Laplacian in higher dimensions
M. Mateljević, N. Mutavdžić, B. Purtić
Through this article we will use a notation \begin{equation}\label{alfaLap} T_αu(x)=(1-|x|^2)Δu(x)+2 α\langle x,\nabla u(x)\rangle + (n-2-α) αu(x). \end{equation} Here, and…
math.AP2021
Schwarz-Pick Lemma for Harmonic and Hyperbolic Harmonic Functions
Adel Khalfallah, Bojana Purtić, Miodrag Mateljević
We establish some inequalities of Schwarz-Pick type for harmonic and hyperbolic harmonic functions on the unit ball of and we disprove a recent conjecture of Liu [Schwarz-Pick Lemm…