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

• Autoři: KOSSOVSKIY Ilya; LAMEL Bernhard; LAMEL Bernhard; XIAO Ming; XIAO Ming
• Rok publikování: 2021
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Communications in Analysis and Geometry
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://www.intlpress.com/site/pub/pages/journals/items/cag/content/vols/0029/0001/a005/index.php
• Doi: http://dx.doi.org/10.4310/CAG.2021.v29.n1.a5
• Klíčová slova: CR-embeddings; holomorphic mappings; real hypersurfaces
• Popis: We provide regularity results for CR-maps from a real hypersur- face 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.

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