The $\bar{∂}$-Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary

Year, pages: 2005, 317 - 328

On a bounded strongly pseudoconvex domain $D$ in $\Bbb{C}ⁿ$ with a piecewise smooth boundary, we prove that the $\bar{∂}$-Neumann operator $N$ can be extended as a bounded operator from Sobolev $(-((1) / (2)))$-spaces to the Sobolev $(((1) / (2)))$-spaces. In particular, $N$ is a compact operator on Sobolev $(-((1) / (2)))$-spaces.

Abdelkader, O., Saber, S. 2005. The $\bar{∂}$-Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary. In Mathematica Slovaca, vol. 55, no.3, pp. 317-328. 0139-9918.

Abdelkader, O., Saber, S. (2005). The $\bar{∂}$-Neumann operator on strongly pseudoconvex domain with piecewise smooth boundary. Mathematica Slovaca, 55(3), 317-328. 0139-9918.