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

Revista Matemática Hispanoamericana (1981)

- Volume: 41, Issue: 1-2, page 27-30
- ISSN: 0373-0999

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topGonzález 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 -

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