A proof of Khavinson's conjecture in R4

DOI10.1112/blms.12052zbMath1377.31002arXiv1601.03347OpenAlexW2605467187WikidataQ123011012 ScholiaQ123011012MaRDI QIDQ5357092

David Kalaj

Publication date: 13 September 2017

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03347

zbMATH Keywords

harmonic functionsgradient estimatesKhavinson conjecture

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05)

Related Items (7)

A Khavinson type conjecture for hyperbolic harmonic functions on the unit ball ⋮ Khavinson problem for hyperbolic harmonic mappings in Hardy space ⋮ Some sharp Schwarz-Pick type estimates and their applications of harmonic and pluriharmonic functions ⋮ A proof of the Khavinson conjecture ⋮ A proof of the Khavinson conjecture in \(\mathbb{R}^3\) ⋮ Schwarz type lemmas and a Landau type theorem of functions satisfying the biharmonic equation ⋮ Schwarz lemmas for mappings satisfying Poisson's equation

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