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On the optimal control method in quaternionic analysis |
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| Authors: | Wei Wang |
| Institution: | Department of Mathematics, Zhejiang University, Zhejiang 310028, PR China |
| Abstract: | Gaveau?s optimal control method for real and complex Monge–Ampere operators is generalized to that for quaternionic Monge–Ampere operator. It is also applied to investigate quaternionic regular functions: the characterization of the Silov boundary of a smooth quaternionic pseudoconvex domain. |
| Keywords: | The optimal control method Quaternionic Monge&ndash Ampere operator Quaternionic plurisubharmonic functions Quaternionic regular functions Quaternionic controls and stochastic integral |
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