dc.creatorTung,Chia-chi
dc.date2010-01-01
dc.date.accessioned2017-03-07T16:36:25Z
dc.date.available2017-03-07T16:36:25Z
dc.identifierhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000200015
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/404499
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.
dc.formattext/html
dc.languageen
dc.publisherUniversidad de La Frontera. Departamento de Matemática y Estadística
dc.publisherUniversidade Federal de Pernambuco. Departamento de Matemática
dc.sourceCubo (Temuco) v.12 n.2 2010
dc.subjectSubharmonicity
dc.subjectseminear subharmonicity
dc.subjectJensen function
dc.subjectweak subharmonicity
dc.subjectweak plurisubharmonicity
dc.titleOn Semisubmedian Functions and Weak Plurisubharmonicity
dc.typeArtículos de revistas


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