Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-21
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mateljević, Miodrag. 2014. Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1015010
Modern Language Association (MLA)
Mateljević, Miodrag. Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces. Abstract and Applied Analysis No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-1015010
American Medical Association (AMA)
Mateljević, Miodrag. Distortion of Quasiregular Mappings and Equivalent Norms on Lipschitz-Type Spaces. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-1015010
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015010