Harmonic Functions on a Subregion of a Riemannian Manifold

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Authors

  • University of California, Los Angeles ,US
  • University of California, Los Angeles ,US

DOI:

https://doi.org/10.18311/jims/1971/16726

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.

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Published

1971-12-01

How to Cite

Kwon, Y. K., & Sario, L. (1971). Harmonic Functions on a Subregion of a Riemannian Manifold. The Journal of the Indian Mathematical Society, 35(1-4), 135–161. https://doi.org/10.18311/jims/1971/16726