Diameters of classes of continuous functions in the $L_p$ space

In the $L_p(a,b)$ space the exact values of $n$-diameters $(n=1,2,\dots)$ are found of the class $H_\omega[a,b]$ of the functions $f(x)$ such that $|f(x')-f(x'')|\leqslant\omega(|x'-x''|)$, where $\omega(t)$ is a given continuity module which is convex upwards.