On some polynomial conditions of the type of leja in ¢n

  • Wiesław Pleśniak
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 798)


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.


Lebesgue Measure Holomorphic Mapping Open Neighborhood Borel Subset Extremal Function 
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Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Wiesław Pleśniak
    • 1
  1. 1.Institute of MathematicsJagiellonian UniversityKrakówPoland

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