Geodesic
The $\bar {\partial }$-Neumann operator on Lipschitz $q$-pseudoconvex domains
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 721-731

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On a bounded $q$-pseudoconvex domain $\Omega $ in $\mathbb {C}^{n}$ with a Lipschitz boundary, we prove that the $\bar {\partial }$-Neumann operator $N$ satisfies a subelliptic $(1/2)$-estimate on $\Omega $ and $N$ can be extended as a bounded operator from Sobolev $(-1/2)$-spaces to Sobolev $(1/2)$-spaces.
DOI : 10.1007/s10587-011-0021-2
Classification : 32F10, 32W05
Keywords: Sobolev estimate; $\bar \partial $ and $\bar \partial $-Neumann operator; $q$-pseudoconvex domains; Lipschitz domains 
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     title = {The $\bar {\partial }${-Neumann} operator on {Lipschitz} $q$-pseudoconvex domains},
     journal = {Czechoslovak Mathematical Journal},
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Saber, Sayed. The $\bar {\partial }$-Neumann operator on Lipschitz $q$-pseudoconvex domains. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 3, pp. 721-731. doi: 10.1007/s10587-011-0021-2

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