Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of a $\bar\partial$-solution operator for strongly $\mathbf
  C$-linearly convex domains with minimal smoothness   We prove regularity of solutions of the $\bar\partial$-problem in the
H\"older-Zygmund spaces of bounded, strongly $\mathbf C$-linearly convex
domains of class $C^{1,1}$. The proofs rely on a new, analytic characterization
of said domains which is of independent interest, and on techniques that were
recently developed by the first-named author to prove estimates for the
$\bar\partial$-problem on strongly pseudoconvex domains of class $C^2$.

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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin