Optimal coding of elements of a metric space (Q910647)

The author presents exact statements on optimal coding of continuous functions from \[ H^{\omega}=\{f(t):\quad f\in C[0,1],\quad | f(t')-f(t'')| \leq \omega (| t'+t''|),\quad t',t''\in [0,1]\}, \] where \(\omega\) is an upwards convex modulus of continuity, by means of vectors from \({\mathbb{R}}^ N\) in the metric \(L_ p[0,1]\), \(0<p<1\). We refer to the paper for details because the results are too involved to be reproduced here.