Before revision: A sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality is proved. The obtained upper bound on the number of sampling points is of the order of the dimension of the subspace .
After revision: A sampling discretization theorem for the square norm of functions from a finite dimensional subspace satisfying Nikol'skii's inequality with an upper bound on the number of sampling points is of the order of the dimension of the subspace .