A regularity lemma for functions of several variables.

Jean L. Journé

Revista Matemática Iberoamericana (1988)

  • Volume: 4, Issue: 2, page 187-193
  • ISSN: 0213-2230

Abstract

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We shall prove the following Theorem. Let Fs and Fu be two continuous transverse foliations with uniformly smooth leaves, of some manifold. If f is uniformly smooth along the leaves of Fs and Fu, then f is smooth.

How to cite

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Journé, Jean L.. "A regularity lemma for functions of several variables.." Revista Matemática Iberoamericana 4.2 (1988): 187-193. <http://eudml.org/doc/39380>.

@article{Journé1988,
abstract = {We shall prove the following Theorem. Let Fs and Fu be two continuous transverse foliations with uniformly smooth leaves, of some manifold. If f is uniformly smooth along the leaves of Fs and Fu, then f is smooth.},
author = {Journé, Jean L.},
journal = {Revista Matemática Iberoamericana},
keywords = {Análisis funcional; Funciones holomorfas de varias variables; Regularidad; differentiability; smooth functions of several variables; foliations},
language = {eng},
number = {2},
pages = {187-193},
title = {A regularity lemma for functions of several variables.},
url = {http://eudml.org/doc/39380},
volume = {4},
year = {1988},
}

TY - JOUR
AU - Journé, Jean L.
TI - A regularity lemma for functions of several variables.
JO - Revista Matemática Iberoamericana
PY - 1988
VL - 4
IS - 2
SP - 187
EP - 193
AB - We shall prove the following Theorem. Let Fs and Fu be two continuous transverse foliations with uniformly smooth leaves, of some manifold. If f is uniformly smooth along the leaves of Fs and Fu, then f is smooth.
LA - eng
KW - Análisis funcional; Funciones holomorfas de varias variables; Regularidad; differentiability; smooth functions of several variables; foliations
UR - http://eudml.org/doc/39380
ER -

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