Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces
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 qua...
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/895074 |
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doaj-a3af49b74b6a4306a0cd44bdad452f222020-11-24T22:52:51ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/895074895074Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type SpacesMiodrag Mateljević0Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11000 Belgrade, SerbiaWe 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.http://dx.doi.org/10.1155/2014/895074 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Miodrag Mateljević |
| spellingShingle |
Miodrag Mateljević Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces Abstract and Applied Analysis |
| author_facet |
Miodrag Mateljević |
| author_sort |
Miodrag Mateljević |
| title |
Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces |
| title_short |
Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces |
| title_full |
Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces |
| title_fullStr |
Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces |
| title_full_unstemmed |
Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces |
| title_sort |
distortion of quasiregular mappings and equivalent norms on lipschitz-type spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2014/895074 |
| work_keys_str_mv |
AT miodragmateljevic distortionofquasiregularmappingsandequivalentnormsonlipschitztypespaces |
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