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dc.creatorTung, Chia-chi
dc.date2010-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1417
dc.identifier10.4067/S0719-06462010000200015
dc.descriptionIn 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.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1417/1270
dc.sourceCUBO, A Mathematical Journal; Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal; 235–259en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 12 Núm. 2 (2010): CUBO, A Mathematical Journal; 235–259es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectSubharmonicityen-US
dc.subjectseminear subharmonicityen-US
dc.subjectJensen functionen-US
dc.subjectweak subharmonicityen-US
dc.subjectweak plurisubharmonicityen-US
dc.titleOn Semisubmedian Functions and Weak Plurisubharmonicityen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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