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A principal function problem and the field of meromorphic functions |
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| Authors: | Mikihiro Hayashi Mitsuru Nakai |
| Institution: | 1. Professor Emeritus, Hokkaido University, Sapporo, 060-0810, Japan 2. 1-6 Nagahashi, Otaru, Hokkaido, 047-0036, Japan 3. Professor Emeritus, Nagoya Institute of Technology, Gokiso, Showa, Nagoya, 466-8555, Japan 4. 53 Eguchi, Hinaga, Chita, 478-0041, Japan |
| Abstract: | Let R be an open Riemann surface and A an open subset of R. For a given meromorphic function s on A, we show, under an additional condition on A, that there exists a meromorphic function q on R such that both q/s and s/q are bounded functions on A. |
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