dc.creator | Tung, Chia-chi | |
dc.date | 2010-06-01 | |
dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1417 | |
dc.identifier | 10.4067/S0719-06462010000200015 | |
dc.description | In this note subharmonic and plurisubharmonic functions on a complex space are studied intrinsically. For applications subharmonicity is characterized more effectually in terms of properties that need be verified only locally off a thin analytic subset; these include the submean-value inequalities, the spherical (respectively, solid) monotonicity, near as well as weak subharmonicity. Several results of Gunning [9, K and L] are extendable via regularity to complex spaces. In particular, plurisubharmonicity amounts (on a normal space) essentially to regularized weak plurisubharmonicity, and similarly for subharmonicity (on a general space). A generalized Hartogs’ lemma and constancy criteria for certain matrix-valued mappings are given. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1417/1270 | |
dc.source | CUBO, A Mathematical Journal; Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal; 235–259 | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 12 Núm. 2 (2010): CUBO, A Mathematical Journal; 235–259 | es-ES |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.subject | Subharmonicity | en-US |
dc.subject | seminear subharmonicity | en-US |
dc.subject | Jensen function | en-US |
dc.subject | weak subharmonicity | en-US |
dc.subject | weak plurisubharmonicity | en-US |
dc.title | On Semisubmedian Functions and Weak Plurisubharmonicity | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |