Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric maximizers of Schatten norms of some convolution type integral
  operators   In this paper we prove that the ball is a maximizer of the Schatten $p$-norm
of some convolution type integral operators with non-increasing kernels among
all domains of a given measure in $\mathbb R^{d}$. We also show that the
equilateral triangle has the largest Schatten $p$-norm among all triangles of a
given area. Some physical motivations for our results are also presented.

29
The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con