The ends of discs

Josip Globevnik; Edgar Lee Stout

Displaying similar documents to “The ends of discs”

Pluriharmonic interpolation and hulls of C curves in the unit sphere.

Herbert Alexander, Joaquim Bruna (1995)

Revista Matemática Iberoamericana

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Maximum modulus sets and reflection sets

Alexander Nagel, Jean-Pierre Rosay (1991)

Annales de l'institut Fourier

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We study sets in the boundary of a domain in $C^{n}$ , on which a holomorphic function has maximum modulus. In particular we show that in a real analytic strictly pseudoconvex boundary, maximum modulus sets of maximum dimension are real analytic. Maximum modulus sets are related to , which are sets along which appropriate collections of holomorphic and antiholomorphic functions agree.