Holomorphic extension of meromorphic mappings along real analytic hypersurfaces


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Yazıcı Ö.

ANNALI DI MATEMATICA PURA ED APPLICATA, vol.199, no.4, pp.1337-1342, 2020 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 199 Issue: 4
  • Publication Date: 2020
  • Doi Number: 10.1007/s10231-019-00923-z
  • Title of Journal : ANNALI DI MATEMATICA PURA ED APPLICATA
  • Page Numbers: pp.1337-1342

Abstract

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.