Miodrag Mateljević

activity

20222024

collaborators

8 papers

math.CV2024

Green function for $T_{α}$ -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, $∣ x ∣ < 1$ and…

math.CV2023

Lipschitz continuity for harmonic functions and solutions of the $α ˉ$ -Poisson equation

Miodrag Mateljević, Nikola Mutavdzić, Adel Khalfallah

We study Lipschitz continuity for solutions of the $α ˉ$ -Poisson equation in planar cases. We also review some recently obtained results. As corolary we can restate results for h…

math.CV2023

$H^{p}$ theory of separately $(α, β)$ -harmonic functions in the unit polydisc

Jelena Gajic, Milos Arsenovic, Miodrag Mateljevic

We prove existence and uniqueness of a solution of the Dirichlet problem for separately $(α, β)$ - harmonic functions on the unit polydisc $D^{n}$ with boundary data in $C(\m…

math.CV2023

Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature

David Kalaj, Miodrag Mateljević, Iosif Pinelis

Assume that $f$ is a real $ρ$ -harmonic function of the unit disk $D$ onto the interval $(- 1, 1)$ , where $ρ (u, v) = R (u)$ is a metric defined in the infinite strip $(-1,1)\time…

math.CV2023

Estimates of partial derivatives for harmonic functions on the unit disc

Adel Khalfallah, Miodrag Mateljević

Let $f = P [F]$ denote the Poisson integral of $F$ in the unit disk $D$ with $F$ is an absolute continuous in the unit circle $T$ and $F ˙ \in L^{p} (T)$ ,…

math.CV2023

$H^{p}$ -Norm estimates of the partial derivatives and Schwarz lemma for $α$ -harmonic functions

Adel Khalfallah, Miodrag Mateljević

Suppose $α > - 1$ and $1 \leq p \leq \infty$ . Let $f = P_{α} [F]$ be an $α$ -harmonic mapping on $D$ with the boundary $F$ being absolute continuous and $F ˙ \in L^{p} (0, 2 π)$ , wher…

Green function for Tα​-Laplacian in higher dimensions

Lipschitz continuity for harmonic functions and solutions of the αˉ-Poisson equation

Hp theory of separately (α,β)-harmonic functions in the unit polydisc

Schwarz lemma for real harmonic functions onto surfaces with non-negative Gaussian curvature

Estimates of partial derivatives for harmonic functions on the unit disc

Hp-Norm estimates of the partial derivatives and Schwarz lemma for α-harmonic functions

Green function for $T_{α}$ -Laplacian in higher dimensions

Lipschitz continuity for harmonic functions and solutions of the $α ˉ$ -Poisson equation

$H^{p}$ theory of separately $(α, β)$ -harmonic functions in the unit polydisc

$H^{p}$ -Norm estimates of the partial derivatives and Schwarz lemma for $α$ -harmonic functions