%0 Journal Article
%T Regularity of dbar on worm domains
%A Dariush Ehsani
%J Mathematics
%D 2014
%I arXiv
%X A solution operator to the $\bar{\partial}$-equation is constructed on unbounded worm domains, $D_{\beta}$. Regularity estimates are proven showing the operator preserves regularity of the data. The operator may be viewed as a continuous mapping among appropriate subpaces of $W^s(D_{\beta})$, which depend on a rotational invariance of the domains.
%U http://arxiv.org/abs/1406.7380v2