Adel Khalfallah

collaborators

3 papers

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…

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

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