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Yes, this is so. And much stronger statements are available: See the beautiful survey paper MR2567024 Rashkovskii, Alexander Classical and new loglog-theorems. Expo. Math. 27 (2009), no. 4, 271–287. also available on the arxiv All results in this paper are actually for subharmonic functions, so this settles the questrion for both analytic and harmonic functions. |
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Yes, this is so. And much stronger statements are available: See the beautiful survey paper MR2567024 Rashkovskii, Alexander Classical and new loglog-theorems. Expo. Math. 27 (2009), no. 4, 271–287. also available on the arxiv |
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