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

Abstract

On a strictly q-convex domain D in a Kähler manifold X, we obtain the solvability of the [Formula: see text]-problem for smooth forms and currents on boundaries of D. Moreover, we study the solvability of the [Formula: see text]-problem for extensible currents.