Regularity of dbar on worm domains

Dariush Ehsani

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arXiv · 1406.7380

Regularity of dbar on worm domains

Dariush Ehsani

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Abstract

A solution operator to the $\bar{\partial}$-equation is constructed on unbounded worm domains, $D_β$. 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 $W^s(D_β)$, which depend on a rotational invariance of the domains.

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Dariush Ehsani. 2014-08-01. Regularity of dbar on worm domains. https://arxiv.org/abs/1406.7380

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