Holomorphic extension of meromorphic mappings along real analytic hypersurfaces

Üniversitemiz Dr. Öğr. Üyesi Özcan Yazıcı'nın yazarı olduğu “Holomorphic extension of meromorphic mappings along real analytic hypersurfaces” başlıklı makale Annali di Matematica Pura ed Applicata’da yayınlandı.

Let M⊂ Cⁿ be a real analytic hypersurface, M^′⊂ 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∈ 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.

Yazici, O. (2020). Holomorphic extension of meromorphic mappings along real analytic hypersurfaces. Annali Di Matematica Pura Ed Applicata, 199(4), 1337-1342. doi:10.1007/s10231-019-00923-z

Makaleye erişim için: https://link.springer.com/article/10.1007/s10231-019-00923-z

Anahtar sözcükler:

Holomorphic extension; Meromorphic mappings; Real analytic hypersurfaces

Ek bilgiler:

The author is supported by TÜBİTAK 2232 Proj. No. 117C037.