Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces

摘要

We provide regularity results for CR-maps from a real hypersurface in n- dimensional complex space to a Levi-degenerate target hypersurface in a n + 1-dimensional space. We address both the real-analytic and the smooth case. Our results allow immediate applications to the study of proper holomorphic maps between Bounded Symmetric Domains.