Abstract
Given continuous functionsu and ∈ on a closed subsetF of a Riemann surface, we seek a harmonic functionv on the surface (possibly with logarithmic singularities) such that |u−v|<∈ onF.
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Research supported in part by NSERC—Canada and FCAR—Quebec.
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Bagby, T., Gauthier, P.M. Approximation by harmonic functions on closed subsets of Riemann surfaces. J. Anal. Math. 51, 259–284 (1988). https://doi.org/10.1007/BF02791126
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DOI: https://doi.org/10.1007/BF02791126