Date: |
1994 |
Abstract: |
We prove that if a Riemann surface has a linear isoperimetric inequality and verifies an extra condition of regularity, then there exists a non- constant armonic function with finite Dirichlet integral in the surface. We prove too, by an example, that the implication is not true without the condition of regularity. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Published in: |
Publicacions matemàtiques, Vol. 38, Núm. 1 (1994) , p. 243-253, ISSN 2014-4350 |