A correction theorem for anisotropic spaces (Q1809974)

This paper is devoted to the following old problem: given an \(\varepsilon>0\), a function \(f:I^n\to R\), and the partial moduli of continuity of \(f\) 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 \(f\) evaluated over the points of this set admit an unimprovable estimate of partial uniform moduli of continuity and write out this estimate of the uniform partial moduli of continuity. The author solves this problem and shows that the main theorem cannot be strengthened.