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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Citation Formats

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.