3 citations · 9 across the 4 of their papers we have counts for
8 papers
Khavinson conjecture for hyperbolic harmonic functions on the unit ball
Adel Khalfallah, Fathi Haggui, Miodrag Mateljević
In this paper, we prove the Khavinson conjecture for hyperbolic harmonic functions on the unit ball. This conjecture was partially solved in \cite{JKM2020}.
Schwarz lemmas for mappings with bounded Laplacian
Miodrag Mateljević, Adel Khalfallah
We establish some Schwarz type Lemmas for mappings defined on the unit disk with bounded Laplacian. Then we apply these results to obtain boundary versions of the Schwarz lemma.
Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings
Miodrag Mateljević, Marek Svetlik
We give simple proofs of various versions of the Schwarz lemma for real valued harmonic functions and for holomorphic (more generally harmonic quasi\-re\-gu\-lar, shortly HQR) mapp…
Schwarz lemma and distortion for harmonic functions via length and area
Miodrag Mateljević
We give sharp estimates for distortion of harmonic by means of area and length of the corresponding surface.
Schwarz lemma and Kobayashi metrics for holomorphic and pluriharmonic functions
Miodrag Mateljević
The Schwarz lemma as one of the most influential results in complex analysis and it has a great impact to the development of several research fields, such as geometric function the…
Bounds for Jacobian of harmonic injective mappings in n-dimensional space
Vladimir Božin, Miodrag Mateljević
Using normal family arguments, we show that the degree of the first nonzero homogenous polynomial in the expansion of dimensional Euclidean harmonic -quasiconformal mapping…
The lower bound for the modulus of the derivatives and Jacobian of harmonic injective mappings
Miodrag Mateljević
We give the lower bound for the modulus of the radial derivatives and Jacobian of harmonic injective mappings from the unit ball onto convex domain in plane and space. As an applic…
Lipschitz type spaces and Landau-Bloch type theorems for harmonic functions and Poisson equations
Sh. Chen, M. Mateljević, S. Ponnusamy +1
In this paper, we investigate some properties on harmonic functions and solutions to Poisson equations. First, we will discuss the Lipschitz type spaces on harmonic functions. Seco…