On the maximum modulus theorem for nonanalytic functions in several complex variables.

• Autores: Mario O. González Rodríguez
• Localización: Revista matemática hispanoamericana, ISSN 0373-0999, Vol. 41, Nº. 1-2, 1981, págs. 27-30
• Idioma: inglés
• Títulos paralelos:
  • Sobre el teorema del módulo máximo para funciones no analíticas de varias variables complejas.
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• Resumen

  • Let w = f(z1, ..., zn) = u(x1, ..., yn) + iv(x1, ..., yn) be a complex function of the n complex variables z1, ..., zn, defined in some open set A Ì Cn. The purpose of this note is to prove a maximum modulus theorem for a class of these functions, assuming neither the continuity of the first partial derivatives of u and v with respect to xk and yk, nor the conditions fzk = 0 in A for k = 1, 2, ..., n (the Cauchy-Riemann equations in complex form).