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Harmonic majorization
of a subharmonic function on a cone or on a cylinder
Hidenobu Yoshida |
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Vol. 148 (1991), No. 2, 369–395
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Abstract |
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For a subharmonic function u defined on a cone or on a cylinder which is dominated on the boundary by a certain function, we generalize the classical Phragmén-Lindelöf theorem by making a harmonic majorant of u and show that if u is non-negative in addition, our harmonic majorant is the least harmonic majorant. As an application, we give a result concerning the classical Dirichlet problem on a cone or on a cylinder with an unbounded function defined on the boundary. |
Mathematical Subject Classification 2000
Primary: 31B05
Secondary: 31B25
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Milestones
Received: 26 October 1988
Revised: 31 October 1989
Published: 1 April 1991
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Authors |
| Hidenobu Yoshida | |
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