Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ASYMPTOTIC BEHAVIOR OF A-HARMONIC FUNCTIONS AND p-EXTREMAL LENGTH

  • Kim, Seok-Woo (DEPARTMENT OF MATHEMATICS EDUCATION KONKUK UNIVERSITY) ;
  • Lee, Sang-Moon (DEPARTMENT OF MATHEMATICS KONKUK UNIVERSITY) ;
  • Lee, Yong-Hah (DEPARTMENT OF MATHEMATICS EDUCATION EWHA WOMANS UNIVERSITY)
  • Published : 2010.03.31
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Abstract

We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded $\cal{A}$-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.

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References

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