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math.CV2026
A Product Principle for Harmonic Schwarz Lemmas: Boxes, Polydiscs, and Metric Geometry
Miljan Knežević, Miodrag Mateljević
We establish an exact product principle for the Euclidean operator norm of differentials of harmonic maps. For a bounded domain \(G\subset\R^m\) and \(p\in G\), let \(M_G(p)\) deno…
math.CV2026
Target Geometry in Prescribed-Value Schwarz Lemmas for Harmonic Maps
Miljan Knežević, Miodrag Mateljević
We study harmonic maps \(F:\D\to G\) into bounded domains in real Hilbert spaces, prescribing \(F(0)\) and \(dF_0(\R^2)\) when \(dF_0\) is nonzero and conformal. We prove a target-…
math.CV2026
On Montel theorem for mappings with inverse moduli inequalities
Miodrag Mateljevic, Evgeny Sevost'yanov
This paper is devoted to the study of mappings with finite distortion, in particular, mappings satisfying the inverse Poletskii inequality. We study the problem of equicontinuity o…