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On Level Curves of Harmonic and Analytic Functions on Riemann Surfaces

Published online by Cambridge University Press:  22 January 2016

Shinji Yamashitad
Shinji Yamashitad*
Affiliation:
Department of Mathematics, Faculty of Science, Hiroshima University
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In this note we shall denote by R a hyperbolic Riemann surface. Let HP′(R) be the totality of harmonic functions u on R such that every subharmonic function | u | has a harmonic majorant on R. The class HP′(R) forms a vector lattice under the lattice operations:

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 34 , March 1969 , pp. 77 - 87
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1969

References

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