Solvability of the Tangential Cauchy–Riemann Equations on Boundaries of Strictly q-Convex Domains

摘要

We shall study the solvability of the tangential Cauchy-Riemann equations for smooth forms on boundaries of strictly q-convex domains in an n-dimensional Ka¨ hler manifold. This is done for forms of type (r, s) with values in a holomorphic line bundle satisfies some positivity condition.