Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz‐Type Spaces

Miodrag Mateljević

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We prove a quasiconformal analogue of Koebe’s theorem related to the average Jacobian and use a normal family argument here to prove a quasiregular analogue of this result in certain domains in n‐dimensional space. As an application, we establish that Lipschitz‐type properties are inherited by a quasiregular function from its modulo. We also prove some results of Hardy‐Littlewood type for Lipschitz‐type spaces in several dimensions, give the characterization of Lipschitz‐type spaces for quasiregular mappings by the average Jacobian, and give a short review of the subject.

Date: 2014
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https://doi.org/10.1155/2014/895074

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:895074

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