H "older continuous solutions to quaternionic Monge-Amp `ere\n equations

2019/01/21 by Fadoua Boukhari, Boukhari, Fadoua
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1901.07080

openalex publication_date 2019/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the H "older continuity of the unique solution to quaternionic\nMonge-Amp `ere equation with densities in L^p, p>2, on a bounded\nstrictly pseudoconvex domains.\n

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