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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-…