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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| Format: | Article |
| Language: | English |
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Wiley
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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| _version_ | 1849399417280397312 |
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| author | Miodrag Mateljević |
| author_facet | Miodrag Mateljević |
| author_sort | Miodrag Mateljević |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-a3af49b74b6a4306a0cd44bdad452f22 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a3af49b74b6a4306a0cd44bdad452f222025-08-20T03:38:19ZengWileyAbstract 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 |
| spellingShingle | Miodrag Mateljević Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces Abstract and Applied Analysis |
| title | 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_short | Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces |
| title_sort | distortion of quasiregular mappings and equivalent norms on lipschitz type spaces |
| url | http://dx.doi.org/10.1155/2014/895074 |
| work_keys_str_mv | AT miodragmateljevic distortionofquasiregularmappingsandequivalentnormsonlipschitztypespaces |