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math.CV2018
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.
math.CV2018
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…
math.CV2018
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.