Splitting lemma for biholomorphic mappings with parameters – weakly pseudoconvex case.

We prove the parametric version of Forstnerič splitting lemma for certain families of weakly pseudoconvex domains allowing regularity and stability of Kohn's solution to $ \bar {\partial } $ ∂ ¯ -problem in Sobolev spaces with exponent 2. [ABSTRACT FROM AUTHOR]