|Authors:||Bhayo, Barkat Ali
Vuorinen, Mattiv K.
|Title:||Norm inequalities for vector functions||Journal:||Journal of Mathematical Analysis and Applications||Volume:||380||Issue:||2||First page:||768||Last page:||781||Issue Date:||15-Aug-2011||Rank:||M21||ISSN:||0022-247X||DOI:||10.1016/j.jmaa.2011.02.029||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:||Normed linear space | Quasiconformal map||Publisher:||Elsevier|
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