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.
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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 $(LB^{∞})$ for the dual space of the space of germs of holomorphic functions on that compact set.
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