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

González Rodríguez, Mario O.. "On the maximum modulus theorem for nonanalytic functions in several complex variables.." Revista Matemática Hispanoamericana 41.1-2 (1981): 27-30. <http://eudml.org/doc/39798>.

@article{GonzálezRodríguez1981,
abstract = {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 ⊂ 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).},
author = {González Rodríguez, Mario O.},
journal = {Revista Matemática Hispanoamericana},
keywords = {Teorema módulo máximo; Funciones no analíticas; nonanalytic functions; maximum of differentiable functions; minimum of differentiable functions},
language = {eng},
number = {1-2},
pages = {27-30},
title = {On the maximum modulus theorem for nonanalytic functions in several complex variables.},
url = {http://eudml.org/doc/39798},
volume = {41},
year = {1981},
}

TY - JOUR
AU - González Rodríguez, Mario O.
TI - On the maximum modulus theorem for nonanalytic functions in several complex variables.
JO - Revista Matemática Hispanoamericana
PY - 1981
VL - 41
IS - 1-2
SP - 27
EP - 30
AB - 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 ⊂ 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).
LA - eng
KW - Teorema módulo máximo; Funciones no analíticas; nonanalytic functions; maximum of differentiable functions; minimum of differentiable functions
UR - http://eudml.org/doc/39798
ER -