Abstract
In this paper we will study maximal q-plurisubharmonic functions in \({\mathbb{C}^n}\). At the same time, we define a notion above weakly q-plurisubharmonic functions and describe the relation between these functions and maximal q-plurisubharmonic functions.
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References
Andreotti A., Grauert H.: Théorème de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. Frace 90, 193–259 (1962)
Blocki, Z.: The complex Monge–Ampère Operator in Pluripotential Theory. In: Lectures notes (1998) (unpublished). http://gamma.im.uj.edu.pl/~Blocki
Blocki Z.: A note on maximal plurisubharmonic functions. Uzbek Math. J. N1, 28–32 (2009)
Hunt L.R., Murray J.J.: q-plurisubharmonic functions and a generalized Dirichlet problem. Mich. Math. J. 25(3), 171–184 (1978)
Klimek M.: Pluripotential Theory. Clarendon press, Oxford (1991)
Slodkowski Z.: The Bremermann–Dirichlet problem for q-plurisubharmonic functions. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 11(2), 303–326 (1984)
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Hai, L.M., Hong, N.X. Maximal q-Plurisubharmonic Functions in \({\mathbb{C}^{n}}\) . Results. Math. 63, 63–77 (2013). https://doi.org/10.1007/s00025-011-0161-6
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DOI: https://doi.org/10.1007/s00025-011-0161-6