In this paper, we introduce finite energy classes of quaternionic m-plurisubharmonic functions of Cegrell type and define the quaternionic m-Hessian operator on some Cegrell's classes. We use the variational approach to solve the quaternionic m-Hessian equation when the right-hand side is a positive Radon measure.
No takes yet. Share an insight, caveat, or question.
Amal et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: