On the Lq-saturation property for functions from W2,p(Ω)

This short note is devoted to the proof of the Lq-saturation property for functions from the Sobolev space W2,p(Ω), p>d/2, on sequences of conformal, possibly anisotropic, simplicial meshes for spaces of arbitrary dimension d. The proof completes the theory of optimal meshes minimizing the Lq-error (0