In this article we prove that for (Formula presented.), there exist pairs of self-adjoint operators (Formula presented.) and (Formula presented.) and a function f on the real line in the homogeneous Besov class (Formula presented.) such that the differences (Formula presented.) and (Formula presented.) belong to the Schatten–von Neumann class S_p but (Formula presented.). A similar result holds for functions of contractions. We also obtain an analog of this result in the case of triples of self-adjoint operators for any (Formula presented.).