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  • 32-XX Several complex variables and analytic spaces
  • 32Axx Holomorphic functions of several complex variables
  • 32A40 Boundary behavior of holomorphic functions

32Axx Holomorphic functions of several complex variables

  • 32A05 Power series, series of functions
  • 32A07 Special domains (Reinhardt, Hartogs, circular, tube)
  • 32A10 Holomorphic functions
  • 32A12 Multifunctions
  • 32A15 Entire functions
  • 32A17 Special families of functions
  • 32A18 Bloch functions, normal functions
  • 32A19 Normal families of functions, mappings
  • 32A20 Meromorphic functions
  • 32A22 Nevanlinna theory (local); growth estimates; other inequalities
  • 32A25 Integral representations; canonical kernels (Szegő, Bergman, etc.)
  • 32A26 Integral representations, constructed kernels (e.g. Cauchy, Fantappiè-type kernels)
  • 32A27 Local theory of residues
  • 32A30 Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30)
  • 32A35 H p -spaces, Nevanlinna spaces
  • 32A36 Bergman spaces
  • 32A37 Other spaces of holomorphic functions (e.g. bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA))
  • 32A38 Algebras of holomorphic functions
  • 32A40 Boundary behavior of holomorphic functions
  • 32A45 Hyperfunctions
  • 32A50 Harmonic analysis of several complex variables
  • 32A55 Singular integrals
  • 32A60 Zero sets of holomorphic functions
  • 32A65 Banach algebra techniques
  • 32A70 Functional analysis techniques
  • 32A99 None of the above, but in this section
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Un exemple de domaine pseudoconvexe regulier où l'équation ...u = f n'admet pas de solution bornée pour f bornée.

Nessim Sibony (1980/1981)

Inventiones mathematicae

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