Geodesic
The Correction Theorem for Anisotropic Spaces
Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 323-333 
E. I. Berezhnoi. The Correction Theorem for Anisotropic Spaces. Matematičeskie zametki, Tome 70 (2001) no. 3, pp. 323-333. http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a0/
@article{MZM_2001_70_3_a0,
     author = {E. I. Berezhnoi},
     title = {The {Correction} {Theorem} for {Anisotropic} {Spaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {323--333},
     year = {2001},
     volume = {70},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_70_3_a0/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The following old problem is solved. Given an $\varepsilon>0$, a function $f \colon [0,1]^n\to\mathbb R$, and the partial moduli of continuity of this function evaluated in a symmetric space $X$, find a set $I(\varepsilon)$ of measure larger than $1-\varepsilon$ such that the partial uniform moduli of continuity of f determined for the points of this set admit an unimprovable (with respect to all restrictions to sets of measure larger than $1-\varepsilon$) estimate of partial uniform moduli of continuity and write out this estimate of the uniform partial moduli of continuity.

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