Strong Hardy–Littlewood theorems for analytic functions and mappings of finite distortion
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- Dyakonov, K. Math. Z. (2005) 249: 597. doi:10.1007/s00209-004-0723-3
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A formula is pointed out that explains why an analytic function often enjoys the same smoothness properties as its modulus. This is extended to quasiregular mappings and, mutatis mutandis, to mappings of finite distortion.