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

Assure 

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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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