A1 Refereed original research article in a scientific journal
Norm inequalities for vector functions
Authors: Bhayo B, Božin V, Kalaj D, Vuorinen M
Publication year: 2011
Journal: Journal of Mathematical Analysis and Applications
Journal name in source: Journal of Mathematical Analysis and Applications
Number in series: 2
Volume: 380
Issue: 2
First page : 768
Last page: 781
Number of pages: 14
ISSN: 0022-247X
DOI: https://doi.org/10.1016/j.jmaa.2011.02.029
Web address : http://api.elsevier.com/content/abstract/scopus_id:79954997842
Abstract
We study vector functions of Rn into itself, which are of the form x→g(|x|)x, where g:(0,∞)→(0,∞) is a continuous function and call these radial functions. In the case when g(t)=tc for some c∈R, we find upper bounds for the distance of image points under such a radial function. Some of our results refine recent results of L. Maligranda and S.S. Dragomir. In particular, we study quasiconformal mappings of this simple type and obtain norm inequalities for such mappings. © 2011 Elsevier Inc.
We study vector functions of Rn into itself, which are of the form x→g(|x|)x, where g:(0,∞)→(0,∞) is a continuous function and call these radial functions. In the case when g(t)=tc for some c∈R, we find upper bounds for the distance of image points under such a radial function. Some of our results refine recent results of L. Maligranda and S.S. Dragomir. In particular, we study quasiconformal mappings of this simple type and obtain norm inequalities for such mappings. © 2011 Elsevier Inc.
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