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arXiv · 1904.10280

Weighted estimates for the $\bar{\partial}$-Neumann problem on intersections of strictly pseudoconvex domains in $\mathbb{C}^2$

Dariush Ehsani
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Abstract

We obtain weighted estimates for the $\bar{\partial}$-Neumann operator on intersections of two smooth strictly pseudoconvex domains in $\mathbb{C}^2$. The regularity estimates are described with the use of Sobolev norms with weights which are powers of the defining functions of the two domains.

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Dariush Ehsani. 2019-04-23. Weighted estimates for the $\bar{\partial}$-Neumann problem on intersections of strictly pseudoconvex domains in $\mathbb{C}^2$. https://arxiv.org/abs/1904.10280

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