|
|
|
Recent
Issues
|
|
Volume 53
|
1
|
|
|
|
|
Volume 52
|
1
|
2
|
3
|
4
|
|
Volume 51
|
1
|
2
|
3
|
4
|
|
Volume 50
|
1
|
2
|
3
|
4
|
|
Volume 49
|
1
|
2
|
3
|
4
|
|
|
Vietnam Journal of Mathematics 38:2 (2010)
211-225
|
|
Weighted Estimates for Solutions of the
$\overline\partial$-Equation in q-Pseudoconvex
Domains
|
|
Le Mau Hai and
Nguyen Xuan Hong
|
|
Abstract. In this paper we give weighted
estimates of Hӧrmander type for solutions of the
$\overline\partial$-equation of $\overline{\partial}$-closed (0, r) -forms in q-pseudoconvex domains of $\mathbb C^n$. At the same time, we
also establish the norm formula |.|Θ of (0, r) -forms according to a positive
definite Hermitian (1,1)-form Θ.
|
|
2000 Mathematics Subject Classification: 32U05, 32U10,
32W05.
|
|
Keywords: $\overline{\partial}$-equation, weighted L2-estimates of Hӧrmander
type, q-pseudoconvex domains, q-subharmonic functions.
|
|
|
|
Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
|
|
