Abstract
A new proof is given of a simple probabilistic lemma which implies the solution of the Dirichlet problem for simply connected domains in the plane. This proof uses the conformal invariance of planar Brownian motion in place of the previously existing measure-theoretic arguments.
Original language | English |
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Pages (from-to) | 1143-1146 |
Number of pages | 4 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 464 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Aug 2018 |
Keywords
- Analytic functions
- Dirichlet problem
- Planar Brownian motion