On some polynomial conditions of the type of leja in ¢n
We show that the property of a compact set E in ℂn to satisfy conditions of the type of Leja's famous polynomial condition is invariant under a large class of holomorphic mappings from a neighborhood of the polynomial envelope of E, Ê, to ℂM (M ≤ N) containing, in particular, all open holomorphic mappings. This yields new examples of sets E in ℂN satisfying the conditions under consideration.
KeywordsLebesgue Measure Holomorphic Mapping Open Neighborhood Borel Subset Extremal Function
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