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Barriers

  • John Wermer

Abstract

Let Ω be a bounded domain in IRn and f a bounded function on ∂Ω. Put
$$U_f \left( x \right) = sup u\left( x \right)$$
taken over all u ∈ \(_f \), where \(_f \) is the class of all subharmonic and continuous functions u on Ω which satisfy \(\overline {\mathop {lim}\limits_{x \to x_0 } } u\left( x \right) \leqslant f\left( {x_0 } \right)\) for all x0 ∈ ∂Ω.

Keywords

Continuous Function Harmonic Function Measurable Function Compact Subset Bounded Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1974

Authors and Affiliations

  • John Wermer
    • 1
  1. 1.Brown UniversityProvidenceUSA

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