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      Equivalence between the boundary Harnack principle and the Carleson estimate

      MATHEMATICA SCANDINAVICA
      Aarhus University Library

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          Abstract

          Both the boundary Harnack principle and the Carleson estimate describe the boundary behavior of positive harmonic functions vanishing on a portion of the boundary. These notions are inextricably related and have been obtained simultaneously for domains with specific geometrical conditions. The main aim of this paper is to show that the boundary Harnack principle and the Carleson estimate are equivalent for arbitrary domains.

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          Author and article information

          Journal
          MATHEMATICA SCANDINAVICA
          MATH. SCAND.
          Aarhus University Library
          1903-1807
          0025-5521
          September 01 2008
          September 01 2008
          : 103
          : 1
          : 61
          Article
          10.7146/math.scand.a-15069
          bd2a3731-73fe-4e5e-8df0-86d9526bdf07
          © 2008
          History

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