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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…
Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature
David Kalaj, Miodrag Mateljević, Iosif Pinelis
Assume that is a real -harmonic function of the unit disk onto the interval , where is a metric defined in the infinite strip $(-1,1)\time…
Estimates of partial derivatives for harmonic functions on the unit disc
Adel Khalfallah, Miodrag Mateljević
Let denote the Poisson integral of in the unit disk with is an absolute continuous in the unit circle and ,…
-Norm estimates of the partial derivatives and Schwarz lemma for -harmonic functions
Adel Khalfallah, Miodrag Mateljević
Suppose and . Let be an -harmonic mapping on with the boundary being absolute continuous and , wher…
On harmonic quasiconformal quasi-isometries
Miodrag Mateljević, Matti Vuorinen
The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps w.r.t. quasihyperbolic metrics. For instance, we prove that harmonic quasic…