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Norm inequalities for vector functions |
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| Authors: | B.A. Bhayo |
| Affiliation: | a Department of Mathematics, University of Turku, 20014 Turku, Finland b Faculty of Mathematics, University of Belgrade, Studentski trg 16, Belgrade, Serbia c University of Montenegro, Faculty of Mathematics, Dzordza Vaöingtona b.b., Podgorica, Montenegro |
| 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. |
| Keywords: | Quasiconformal map Normed linear space |
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