$L^p$@-Estimates for solutions of $\bar{∂}$@-equation on strongly $q$@-convex domains

Year, pages: 2004, 337 - 348

The goal of this article is to construct a solution with $L^p$@-estimates, $1≤ p≤ ∞$, of the equation $\bar{∂}g=f$ on strongly $q$@-convex domain $D$ of a Kähler manifold $M$, $f\in L_r,s^p(D,E)$, $s≥ q$, where $E$ is a holomorphic line bundle over $M$ satisfying a certain positivity conditions.

Abdelkader, O., Khidr, S. 2004. $L^p$@-Estimates for solutions of $\bar{∂}$@-equation on strongly $q$@-convex domains. In Mathematica Slovaca, vol. 54, no.4, pp. 337-348. 0139-9918.

Abdelkader, O., Khidr, S. (2004). $L^p$@-Estimates for solutions of $\bar{∂}$@-equation on strongly $q$@-convex domains. Mathematica Slovaca, 54(4), 337-348. 0139-9918.