ASYMPTOTIC BEHAVIOR OF A-HARMONIC FUNCTIONS AND p-EXTREMAL LENGTH

Title & Authors
ASYMPTOTIC BEHAVIOR OF A-HARMONIC FUNCTIONS AND p-EXTREMAL LENGTH
Kim, Seok-Woo; Lee, Sang-Moon; Lee, Yong-Hah;

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 $\small{\cal{A}}$-harmonic function with finite energy on a complete Riemannian manifold is uniquely determined by the behavior of the function along p-almost every curve.
Keywords
$\small{\cal{A}}$-harmonic function;p-harmonic boundary;comparison principle;maximum principle;p-extremal length;p-almost every curve;
Language
English
Cited by
1.
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