Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact sequences and estimates for the $\overline{\partial}$-problem   We study Sobolev estimates for solutions of the inhomogenous Cauchy-Riemann
equations on annuli in $\cx^n$, by constructing exact sequences relating the
Dolbeault cohomology of the annulus with respect to Sobolev spaces of forms
with those of the envelope and the hole. We also obtain solutions with
prescibed support and estimates in Sobolev spaces using our method.

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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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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: stat
7
The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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The categories of this paper are: solv-int