The $\overline{∂}$-problem on $Q$-pseudoconvex domains with applications

In: Mathematica Slovaca, vol. 63, no. 3

S. Saber

Detaily:

Rok, strany: 2013, 521 - 530

Kľúčové slová:

$\overline\partial$ and $\overline\partial$-Neumann operators, $q$-pseudoconvex domains, Lipschitz domains

DOI: https://doi.org/10.2478/s12175-013-0115-4

O článku:

For a $q$-pseudoconvex domain $Ω$ in $\Bbb{C}ⁿ$, $1≤ q≤ n$, with Lipschitz boundary, we solve the $\overline{∂}$-problem with exact support in $Ω$. Moreover, we solve the $\overline{∂}$-problem with solutions smooth up to the boundary over $Ω$ provided that it has smooth boundary. Applications are given to the solvability of the tangential Cauchy-Riemann equations on the boundary.

Ako citovať:

ISO 690:

Saber, S. 2013. The $\overline{∂}$-problem on $Q$-pseudoconvex domains with applications. In Mathematica Slovaca, vol. 63, no.3, pp. 521-530. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0115-4

APA:

Saber, S. (2013). The $\overline{∂}$-problem on $Q$-pseudoconvex domains with applications. Mathematica Slovaca, 63(3), 521-530. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0115-4

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