Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic functions in a bidisc of bounded $\mathbf{L}$-index in joint
  variables   A concept of boundedness of L-index in joint variables (see in Bordulyak M.T.
The space of entire in $\mathbb{C}^n$ functions of bounded L-index, Mat. Stud.,
4 (1995), 53--58. (in Ukrainian)) is generalised for analytic in a bidisc
function. We proved criteria of boundedness of $\mathbf{L}$-index in joint
variables which describe local behaviour of partial derivative and give an
estimate of maximum modulus on a skeleton of polydisc. Some improvements of
known sufficient conditions of boundednees of $\mathbf{L}$-index in joint
variables are obtained.

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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex