  Let ${\bold M}_0$ be a compact, regular q-pseudoconcave compact CR
submanifold of a complex manifold ${\bold G}$ and ${\cal B}$ - a holomorphic
vector bundle on ${\bold G}$ such that $\dim H^r({\bold M}_0, {\cal
B}\big|_{\bold M})=0$ for some fixed $r<q$. We prove a global homotopy formula
with $C^k$ estimates for $r$-cohomology of ${\cal B}$ on arbitrary CR
submanifold ${\bold M}$ close enough to ${\bold M}_0$.
