Some extension problems are considered here for the class of plurisubharmonic currents, i.e. real currents T such that i(de-debar)T is positive. In particular we prove the following theorem: "Let Ω be an open subset of CN and Y an analytic subset of Ω. Suppose T is a negative plurisubharmonic current on Ω — Υ of bidimension (p,p); if dim Y<p, then T extends across Υ to a plurisubharmonic current on Ω.". For p = N, this is the classical result of Grauert and Remmert on the extension of plurisubharmonic functions.

Plurisubharmonic currents and their extension across analytic subsets / Alessandrini, Lucia; Bassanelli, Giovanni. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - 5:(1993), pp. 577-602. [10.1515/form.1993.5.577]

Plurisubharmonic currents and their extension across analytic subsets

ALESSANDRINI, Lucia;BASSANELLI, Giovanni
1993-01-01

Abstract

Some extension problems are considered here for the class of plurisubharmonic currents, i.e. real currents T such that i(de-debar)T is positive. In particular we prove the following theorem: "Let Ω be an open subset of CN and Y an analytic subset of Ω. Suppose T is a negative plurisubharmonic current on Ω — Υ of bidimension (p,p); if dim Y
1993
Plurisubharmonic currents and their extension across analytic subsets / Alessandrini, Lucia; Bassanelli, Giovanni. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - 5:(1993), pp. 577-602. [10.1515/form.1993.5.577]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/1506122
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