Quaternionic Monge–Ampère operator for unbounded plurisubharmonic functions

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ID: 117970
2018
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Abstract
In this paper, we generalize the definition of the quaternionic Monge–Ampère operator to some unbounded plurisubharmonic functions, and we prove that the quaternionic Monge–Ampère operator is continuous on the monotonically decreasing sequences of plurisubharmonic functions. After introducing the generalized Lelong number of a positive current, Demailly’s comparison theorems are showed. Moreover, we prove that the quaternionic Lelong–Jensen-type formula also holds for the unbounded plurisubharmonic function.
Reference Key
wan2018annaliquaternionic Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Dongrui Wan;Dongrui Wan;
Journal annali di matematica pura ed applicata (1923 -)
Year 2018
DOI
doi:10.1007/s10231-018-0778-0
URL
https://link.springer.com/article/10.1007/s10231-018-0778-0
Keywords
mathematics general

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