Global Regularity of ∂ on an Annulus between a Q-pseudoconvex and a P-pseudoconcave Boundary
Heungju Ahn, Giuseppe Zampieri · Pure and Applied Mathematics Quarterly · 2010
We consider the ∂ problem over an annulus Ω ⊂⊂ C n between an internal p-pseudoconcave and an external q-pseudoconvex hypersuface respectively.We prove that the C ∞ ( Ω)-cohomology of ∂ on antiholomorphic forms of degree k for q + 1 ≤ k ≤ p -1 is finite-dimensional.