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On a boundary property
of principal functions
Mineko Watanabe |
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Vol. 31 (1969), No. 2, 537–545
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Abstract |
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A behavior of (P)L1-principal functions on some compactifications of a Riemann surface is studied. The main result in this paper is that a (P)L1-principal function is extended almost everywhere continuously to some compactifications and the extention is almost everywhere constant on each part of P. If the genus of the surface is finite and P is the canonical P,(P)L1-principal function can be extended continuously to the Kerékjártó-Stoilow compactification. |
Mathematical Subject Classification
Primary: 30.45
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Milestones
Received: 9 November 1967
Published: 1 November 1969
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Authors |
| Mineko Watanabe | |
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