The non-pluripolarity of compact sets in complex spaces and the property ( L B ) for the space of germs of holomorphic functions

Le Mau Hai; Tang Van Long

Studia Mathematica (2002)

  • Volume: 150, Issue: 1, page 1-12
  • ISSN: 0039-3223

Abstract

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The aim of this paper is to establish the equivalence between the non-pluripolarity of a compact set in a complex space and the property ( L B ) for the dual space of the space of germs of holomorphic functions on that compact set.

How to cite

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Le Mau Hai, and Tang Van Long. "The non-pluripolarity of compact sets in complex spaces and the property $(LB^{∞})$ for the space of germs of holomorphic functions." Studia Mathematica 150.1 (2002): 1-12. <http://eudml.org/doc/285036>.

@article{LeMauHai2002,
abstract = {The aim of this paper is to establish the equivalence between the non-pluripolarity of a compact set in a complex space and the property $(LB^\{∞\})$ for the dual space of the space of germs of holomorphic functions on that compact set.},
author = {Le Mau Hai, Tang Van Long},
journal = {Studia Mathematica},
keywords = {property ; property ; pluripolar set; relative extremal function},
language = {eng},
number = {1},
pages = {1-12},
title = {The non-pluripolarity of compact sets in complex spaces and the property $(LB^\{∞\})$ for the space of germs of holomorphic functions},
url = {http://eudml.org/doc/285036},
volume = {150},
year = {2002},
}

TY - JOUR
AU - Le Mau Hai
AU - Tang Van Long
TI - The non-pluripolarity of compact sets in complex spaces and the property $(LB^{∞})$ for the space of germs of holomorphic functions
JO - Studia Mathematica
PY - 2002
VL - 150
IS - 1
SP - 1
EP - 12
AB - The aim of this paper is to establish the equivalence between the non-pluripolarity of a compact set in a complex space and the property $(LB^{∞})$ for the dual space of the space of germs of holomorphic functions on that compact set.
LA - eng
KW - property ; property ; pluripolar set; relative extremal function
UR - http://eudml.org/doc/285036
ER -

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