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We describe the asymptotic behavior of functions of the Royden p-algebra in terms of p-extremal length. We also prove that each bounded 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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참고문헌 (13)
참고문헌 신청
E. Hewitt / 1965 / Real and Abstract Analysis / Springer-Verlag
H. Tanaka / 1990 / Harmonic boundaries of Riemannian manifolds / Nonlinear Anal. 14 (1) : 55 ~ 67
I. Holopainen / 1994 / Rough isometries and p-harmonic functions with finite Dirichlet integral / Rev. Mat. Iberoamericana 10 (1) : 143 ~ 176
J. Heinonen / 1993 / Nonlinear Potential Theory of Degenerate Elliptic Equations, Oxford Mathematical Monographs. Oxford Science Publications / The Clarendon Press, Oxford University Pre
J. Hesse / 1975 / A p-extremal length and p-capacity equality / Ark. Mat. 13 : 131 ~ 144
H. Tanaka / 1990 / Harmonic boundaries of Riemannian manifolds / Nonlinear Anal. 14 (1) : 55 ~ 67
I. Holopainen / 1994 / Rough isometries and p-harmonic functions with finite Dirichlet integral / Rev. Mat. Iberoamericana 10 (1) : 143 ~ 176
J. Heinonen / 1993 / Nonlinear Potential Theory of Degenerate Elliptic Equations, Oxford Mathematical Monographs. Oxford Science Publications / The Clarendon Press, Oxford University Pre
J. Hesse / 1975 / A p-extremal length and p-capacity equality / Ark. Mat. 13 : 131 ~ 144
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