Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Norm inequalities for vector functions   We study vector functions of ${\mathbb R}^n$ into itself, which are of the
form $x \mapsto g(|x|)x\,,$ where $g : (0,\infty) \to (0,\infty) $ is a
continuous function and call these radial functions. In the case when $g(t) =
t^c$ for some $c \in {\mathbb R}\,,$ 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. Dragomir. In particular, we study
quasiconformal mappings of this simple type and obtain norm inequalities for
such mappings.

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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc