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Author

Zhi-Gang Wang

2 papers indexed here

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Preprint Sep 2026

A counterexample to an open problem of Dorff

The classical P\'olya-Schoenberg conjecture, proved by Ruscheweyh-Sheil-Small, asserts that the convolution of two normalized convex univalent functions is again convex. This property fails to carry over to planar harmonic mappings. In 2001, Dorff posed the open problem whether the self-convolution of a normalized conv...

Zhi-Gang Wang, De-Guang Zhong · 0 citations
Preprint Sep 2026

An all-dimensional Lewy theorem for pluriharmonic mappings via Milnor monodromy

Hengartner asked whether a pluriharmonic mapping between equidimensional complex Euclidean domains is locally one-to-one precisely at the points where its real Jacobian is nonzero. Naser had earlier claimed the conclusion in complex dimension two, and a recent theorem of Kalaj supplies a complete proof in that dimensio...

De-Guang Zhong, Zhi-Gang Wang · 0 citations

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