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May 4, 2020 at 12:28 history edited user111 CC BY-SA 4.0
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May 3, 2020 at 4:25 comment added Jasper Liang I have checked out the paper but not the book yet. Thank you for your help and your references!
May 3, 2020 at 4:16 comment added user111 As far as I know, it is not completely trivial. The reference I know is Theorem III.63 of Tsuji's book, Potential theory in Modern function theory. You can also look to Theorem 1 of this paper.
May 3, 2020 at 3:45 comment added Jasper Liang Thank you so much for your answer! Would you mind elaborating a bit on why $K$ is regular for the Dirichlet problem?
May 3, 2020 at 3:44 vote accept Jasper Liang
May 3, 2020 at 3:08 history answered user111 CC BY-SA 4.0