Ideale Ränder Riemannscher Flächen /
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| Autor Principal: | |
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| Formato: | Libro |
| Idioma: | German |
| Publicado: |
Berlin :
Springer,
1963.
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| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete ;
n. F., Heft 32. Ergebnisse der Mathematik und ihrer Grenzgebiete. Reihe, Moderne Funktionentheorie. |
| Materias: | |
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Tabla de Contenidos:
- (0) Auxiliary concepts and notations; (1) Superharmonic functions; (2) The class HP (which is the class of functions on a Riemann surface representable as the difference of non-negative harmonic functions); (3) The Dirichlet problem; (4) Potential theory; (5) Energy and capacity; (6) Wiener functions; (7) Dirichlet functions; (8) Ideal boundaries; (9) Q-ideal boundaries; (10) Q-Fatou maps; (11) Classes of Riemann surfaces; (12) Extension of a potential theory (exposition of the common parts of the theories of the Martin compactification and of the Kuramochi compactification); (13) The Martin ideal boundary; (14) Behavior of analytic maps on the Martin boundary; (15) Completely super-harmonic (vollsuperharmonisch) functions; (16) The Kuramochi boundary; (17) Potential theory on the Kuramochi compactification; (18) Behavior of Dirichlet maps on the Kuramochiideal boundary; (19) The boundary behavior of analytic maps of the unit disk.