In: Mathematica Slovaca, vol. 63, no. 6
Nguyen Van Khue - Le Mau Hai - Nguyen Xuan Hong
Detaily:
Rok, strany: 2013, 1247 - 1268
Kľúčové slová:
$q$-subharmonic functions, $q$-plurisubharmonic functions, weakly $q$-convex domains
O článku:
In this paper we study $q$-subharmonic and $q$-plurisubharmonic functions in $ \Cn$. Next as an application, we give the notion of $q$-convex domains in $\Cn$ which is an extension of weakly $q$-convex domains introduced and investigated in [HO, L. H.: \textit{$\overline∂$-problem on weakly $q$-convex domains}, Math. Ann. \textbf{290} (1991), 3–18]. In the end of the paper we show that the $q$-convexity is the local property and give some examples about $q$-convex domains.
Ako citovať:
ISO 690:
Khue, N., Hai, L., Hong, N. 2013. $q$-subharmonicity and $q$-convex domains in $\Cn$. In Mathematica Slovaca, vol. 63, no.6, pp. 1247-1268. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0169-3
APA:
Khue, N., Hai, L., Hong, N. (2013). $q$-subharmonicity and $q$-convex domains in $\Cn$. Mathematica Slovaca, 63(6), 1247-1268. 0139-9918. DOI: https://doi.org/10.2478/s12175-013-0169-3
O vydaní: