Holomorphic functions and quasiconformal mappings with smooth moduli

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Abstract

We discuss the implication f ∈Λω(G)⇒f∈Λω(G), where f is a holomorphic function (resp., a quasiconformal mapping) on a domain G⊂ℂn(resp., G⊂ ℝn) and Λω(G) is the Lipschitz space associated with a majorant ω. © 2003 Elsevier Inc. All rights reserved.

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Dyakonov, K. M. (2004). Holomorphic functions and quasiconformal mappings with smooth moduli. Advances in Mathematics, 187(1), 146–172. https://doi.org/10.1016/j.aim.2003.08.008

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