|
|||||
|
|
|
|
|
|
|
|
|
Behavior of
Φ-bounded harmonic functions at
the Wiener boundary
Young K. Kwon |
|
Vol. 57 (1975), No. 2, 453–455
|
Abstract |
|
For a strongly convex Φ(t), denote by HΦ the class of Φ-bounded harmonic functions, and by CΦ the class of continuous functions f on the Wiener harmonic boundary such that the composite Φ(|f|) is integrable with respect to a harmonic measure. Theorem: u ∈ HΦ if and only if u is a solution of the Dirichlet problem with boundary values f ∈ CΦ on the Wiener harmonic boundary. |
Mathematical Subject Classification 2000
Primary: 31C05
|
Milestones
Received: 13 February 1975
Revised: 18 March 1975
Published: 1 April 1975
|
Authors |
| Young K. Kwon | |
|
