Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older estimates for homotopy operators on strictly pseudoconvex
  domains with $C^2$ boundary   We derive a new homotopy formula for a strictly pseudoconvex domain of $C^2$
boundary in ${\mathbf C}^n$ by using a method of Lieb and Range and obtain
estimates in Lipschitz spaces for the homotopy operators. For $r>1$ and $q>0$,
we obtain a $\Lambda_{r+{1}/{2}}$ solution $u$ to $\overline\partial u=f$ for
$\overline\partial$-closed $(0,q)$ forms $f$ of class $\Lambda_{r}$ on the
domain. We apply the estimates to obtain boundary regularities of $\mathcal
D$-solutions for a domain in the Levi-flat Euclidean space.

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The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
3
The categories of this paper are: physics
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org