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Holomorphic extension of meromorphic mappings along real analytic hypersurfaces
Date
2020-08-01
Author
Yazıcı, Özcan
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Let M subset of C-n be a real analytic hypersurface, M' subset of C-N (N >= n) be a strongly pseudoconvex real algebraic hypersurface of the special form, and F be a meromorphic mapping in a neighborhood of a point p is an element of M which is holomorphic in one side of M. Assuming some additional conditions for the mapping F on the hypersurface M, we proved that F has a holomorphic extension to p. This result may be used to show the regularity of CR mappings between real hypersurfaces of different dimensions.
Subject Keywords
Applied Mathematics
URI
https://hdl.handle.net/11511/35746
Journal
ANNALI DI MATEMATICA PURA ED APPLICATA
DOI
https://doi.org/10.1007/s10231-019-00923-z
Collections
Department of Mathematics, Article
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BibTeX
Ö. Yazıcı, “Holomorphic extension of meromorphic mappings along real analytic hypersurfaces,”
ANNALI DI MATEMATICA PURA ED APPLICATA
, pp. 1337–1342, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35746.