The Journal of the Indian Mathematical Society

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Harmonic Functions on a Subregion of a Riemannian Manifold


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1 University of California, Los Angeles, United States
     

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THE MAIN purpose of the present paper is to show that certain classes of harmonic functions on a subregion 0 of a Riemannian manifold R can be characterized by corresponding function spaces on the boundary σG = (G∩ ΔR) ∪ ϑG of G in the Royden compactification R* of R.
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  • Harmonic Functions on a Subregion of a Riemannian Manifold

Abstract Views: 211  |  PDF Views: 0

Authors

Y. K. Kwon
University of California, Los Angeles, United States
L. Sario
University of California, Los Angeles, United States

Abstract


THE MAIN purpose of the present paper is to show that certain classes of harmonic functions on a subregion 0 of a Riemannian manifold R can be characterized by corresponding function spaces on the boundary σG = (G∩ ΔR) ∪ ϑG of G in the Royden compactification R* of R.