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• W3100835367 abstract "We study the problem of classifying the holomorphic $(m,n)$-subharmonic morphisms in complex space. This determines which holomorphic mappings preserves $m$-subharmonicity in the sense that the composition of the holomorphic mapping with a $m$-subharmonic functions is $n$-subharmonic. We show that there are three different scenarios depending on the underlying dimensions, and the model itself. Either the holomorphic mappings are just the constant functions, or up to composition with a homotethetic map, canonical orthogonal projections. Finally, there is a more intriguing case when subharmonicity is gained in the sense of the Caffarelli-Nirenberg-Spruck framework." @default.
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• W3100835367 date "2019-02-27" @default.
• W3100835367 modified "2023-09-24" @default.
• W3100835367 title "The classification of holomorphic (m, n)-subharmonic morphisms" @default.
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• W3100835367 doi "https://doi.org/10.1080/17476933.2019.1574773" @default.
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