Compactness of the canonical solution operator on Lipschitz q-pseudoconvex boundaries
Let $\Omega\subset\mathbb{C}^n$ be a bounded Lipschitz q-pseudoconvex domain that admit good weight functions. We shall prove that the canonical solution operator for the $\overline{\partial}$-equation is compact on the boundary of $\Omega$ and is bounded in the Sobolev space $W^k_{r,s}(\Omega...
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| Format: | Article |
| Language: | English |
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Texas State University
2019-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/48/abstr.html |