A. Khalfallah

activity

20082023

most citedSchwarz lemmas for mappings with bounded Laplacian

2 citations · 3 across the 10 of their papers we have counts for

collaborators

10 papers

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

The first partial derivatives of generalized harmonic functions

Adel Khalfallah, Mohamed Mhamdi

Suppose $α, β \in R \ Z^{-}$ such that $α + β > - 1$ and $1 \leq p \leq \infty$ . Let $u = P_{α, β} [f]$ be an $(α, β)$ -harmonic mapping on $D$ , the unit disc of…

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…

math.CO2022

Combinatorial Properties of primitive words with Non-primitive Product

Othman Echi, Adel Khalfallah, Dhaker Kroumi

Let $A$ be an alphabet of size $n \geq 2$ . In this paper, we give a complete description of primitive words $p \neq = q$ over an alphabet $A$ of size $n \geq 2$ such t…

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…

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

The first partial derivatives of generalized harmonic functions

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

Combinatorial Properties of primitive words with Non-primitive Product

Schwarz-Pick Lemma for Harmonic and Hyperbolic Harmonic Functions

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

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