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The domain of definition of the quaternionic Monge–Ampère operator
Author(s) -
Wan Dongrui
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700135
Subject(s) - mathematics , operator (biology) , domain (mathematical analysis) , pure mathematics , characterization (materials science) , algebra over a field , mathematical analysis , biochemistry , chemistry , repressor , transcription factor , gene , materials science , nanotechnology
In this paper, we give an equivalent characterization of the domain of definition for the quaternionic Monge–Ampère operator, by using the theory of quaternionic closed positive current we established in [17–19]. This domain of definition for the complex Monge–Ampère operator was introduced by Blocki [7,8].