KOSSOVSKIY, Ilya, Bernhard LAMEL and Ming XIAO. Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces. Communications in Analysis and Geometry. International Press of Boston, Inc., 2021, vol. 29, No 1, p. 151-181. ISSN 1019-8385. Available from: https://dx.doi.org/10.4310/CAG.2021.v29.n1.a5. |
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@article{1752862, author = {Kossovskiy, Ilya and Lamel, Bernhard and Xiao, Ming and Lamel, Bernhard and Xiao, Ming}, article_number = {1}, doi = {http://dx.doi.org/10.4310/CAG.2021.v29.n1.a5}, keywords = {CR-embeddings; holomorphic mappings; real hypersurfaces}, language = {eng}, issn = {1019-8385}, journal = {Communications in Analysis and Geometry}, title = {Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces}, url = {https://www.intlpress.com/site/pub/pages/journals/items/cag/content/vols/0029/0001/a005/index.php}, volume = {29}, year = {2021} }
TY - JOUR ID - 1752862 AU - Kossovskiy, Ilya - Lamel, Bernhard - Xiao, Ming - Lamel, Bernhard - Xiao, Ming PY - 2021 TI - Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces JF - Communications in Analysis and Geometry VL - 29 IS - 1 SP - 151-181 EP - 151-181 PB - International Press of Boston, Inc. SN - 10198385 KW - CR-embeddings KW - holomorphic mappings KW - real hypersurfaces UR - https://www.intlpress.com/site/pub/pages/journals/items/cag/content/vols/0029/0001/a005/index.php N2 - 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. ER -
KOSSOVSKIY, Ilya, Bernhard LAMEL and Ming XIAO. Regularity of CR-mappings of codimension one into Levi-degenerate hypersurfaces. \textit{Communications in Analysis and Geometry}. International Press of Boston, Inc., 2021, vol.~29, No~1, p.~151-181. ISSN~1019-8385. Available from: https://dx.doi.org/10.4310/CAG.2021.v29.n1.a5.
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