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Currently displaying 1 – 3 of 3

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The non-pluripolarity of compact sets in complex spaces and the property $(L B^{\infty})$ for the space of germs of holomorphic functions

Le Mau Hai; Tang Van Long — 2002

Studia Mathematica

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 $(L B^{\infty})$ for the dual space of the space of germs of holomorphic functions on that compact set.

A new class of pluripolar sets

Nguyen Quang Dieu; Tang Van Long — 2007

Annales Polonici Mathematici

Let D be a domain in ℂⁿ. We introduce a class of pluripolar sets in D which is essentially contained in the class of complete pluripolar sets. An application of this new class to the problem of approximation of holomorphic functions is also given.

Remarks on pluripolar hulls

Le Mau Hai; Nguyen Quang Dieu; Tang Van Long — 2004

Annales Polonici Mathematici

The aim of the paper is to establish some results on pluripolar hulls and to define pluripolar hulls of certain graphs.

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