M. Mateljević

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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

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

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

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