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Träfflista för sökning "WFRF:(Carlsson Linus 1972 ) ;pers:(Fällström Anders)"

Sökning: WFRF:(Carlsson Linus 1972 ) > Fällström Anders

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1.
  • Backlund, Ulf, et al. (författare)
  • Semi-Bloch functions in several complex variables
  • 2013
  • Rapport (övrigt vetenskapligt/konstnärligt)abstract
    • Let $M$ be an $n$-dimensional complex manifold. A holomorphic function $f:M\to \mathbb C$ is said to be semi-Bloch if for every $\lambda\in \mathbb C$ the function $g_\lambda=\exp(\lambda f(z))$ is normal on $M$. We characterise Semi-Bloch functions on infinitesimally Kobayashi non-degenerate $M$ in geometric as well as analytic terms. Moreover, we show that on such manifolds, semi-Bloch functions are normal.
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2.
  • Carlsson, Linus, 1972-, et al. (författare)
  • A note on B-envelope of holomorphy and B-extendable domains
  • 2008
  • Ingår i: Complex Variables and Elliptic Equations. - Abingdon, Oxon, UK : Taylor & Francis. - 1747-6933 .- 1747-6941. ; 53:4, s. 307-309
  • Tidskriftsartikel (refereegranskat)abstract
    • Let B subset of H(infinity)(X) be a Banach Algebra on a Riemann domain X over C(n). We show that under certain conditions on B and X, all functions in B can be extended to functions in B(E(B, X)) where E(B, X) is the B-envelope of holomorphy.
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3.
  • Carlsson, Linus, 1972- (författare)
  • Ideals and boundaries in Algebras of Holomorphic functions
  • 2006
  • Doktorsavhandling (övrigt vetenskapligt/konstnärligt)abstract
    • We investigate the spectrum of certain Banach algebras. Properties like generators of maximal ideals and generalized Shilov boundaries are studied. In particular we show that if the ∂-equation has solutions in the algebra of bounded functions or continuous functions up to the boundary of a domain D ⊂⊂ Cn then every maximal ideal over D is generated by the coordinate functions. This implies that the fibres over D in the spectrum are trivial and that the projection on Cn of the n − 1 order generalized Shilov boundary is contained in the boundary of D.For a domain D ⊂⊂ Cn where the boundary of the Nebenhülle coincide with the smooth strictly pseudoconvex boundary points of D we show that there always exist points p ∈ D such that D has the Gleason property at p.If the boundary of an open set U is smooth we show that there exist points in U such that the maximal ideals over those points are generated by the coordinate functions.An example is given of a Riemann domain, Ω, spread over Cn where the fibers over a point p ∈ Ω consist of m > n elements but the maximal ideal over p is generated by n functions.
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4.
  • Carlsson, Linus, 1972-, et al. (författare)
  • Spectrum of certain Banach algebras and DBAR-problems
  • 2007
  • Ingår i: Annales Polonici Mathematici. - 0066-2216. ; 90:1, s. 51-58
  • Tidskriftsartikel (refereegranskat)abstract
    • We study the spectrum of certain Banach algebras of holomorphic functions defined on a domain Ω where ∂−-problems with certain estimates can be solved. We show that the projection of the spectrum onto Cn equals Ω−− and that the fibers over Ω are trivial. This is used to solve a corona problem in the special case where all but one generator are continuous up to the boundary. 
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  • Resultat 1-4 av 4

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