Maximal \(m\)-subharmonic functions and the Cegrell class \(\mathcal{N}_m\). (English) Zbl 1425.32029
Summary: In this paper, we will study the maximality of functions and a new Cegrell class \(\mathcal{N}_m(\varOmega)\) which is between the classes \(\mathcal{F}_m(\varOmega)\) and \(\mathcal{E}_m(\varOmega)\). We study the Dirichlet problem, the subsolution theorem and the stability theorem for this class.
MSC:
| 32U05 | Plurisubharmonic functions and generalizations |
| 31C05 | Harmonic, subharmonic, superharmonic functions on other spaces |
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