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SOLUTION TO $\overline\partial$ AND $\overline\partial_{b}$ PROBLEM FOR SMOOTH FORMS AND CURRENTS ON STRICTLY q-CONVEX DOMAINS
Journal article   Peer reviewed

SOLUTION TO $\overline\partial$ AND $\overline\partial_{b}$ PROBLEM FOR SMOOTH FORMS AND CURRENTS ON STRICTLY q-CONVEX DOMAINS

SAYED Saber
International journal of geometric methods in modern physics, Vol.9(4), p.1220002
06/2012
DOI: https://doi.org/10.1142/S0219887812200022

Abstract

Kähler manifolds problem and q-convexity
On a strictly q-convex domain D in a Kähler manifold X, we obtain the solvability of the $\overline\partial_{b}$ -problem for smooth forms and currents on boundaries of D. Moreover, we study the solvability of the $\overline\partial$ -problem for extensible currents.

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