Ilyin, A. A. A class of sharp inequalities for periodic functions. Addendum to the paper “Smooth solutions of the Navier-Stokes equations” by S.I. Pokhozhaev. (English, Russian) Zbl 1312.46044 Sb. Math. 205, No. 2, 220-223 (2014); translation from Mat. Sb. 205, No. 2, 71-74 (2014). Summary: We obtain sharp constants in multiplicative inequalities that characterize embeddings of the Sobolev spaces into the space of bounded continuous functions. For the paper by S. I. Pokhozhaev see [Sb. Math. 205, No. 2, 277–290 (2014); translation from Mat. Sb. 205, No. 2, 131–144 (2014; Zbl 1361.35133)]. MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems Keywords:Sobolev inequalities; interpolation inequalities; sharp constants Citations:Zbl 1361.35133 PDFBibTeX XMLCite \textit{A. A. Ilyin}, Sb. Math. 205, No. 2, 220--223 (2014; Zbl 1312.46044); translation from Mat. Sb. 205, No. 2, 71--74 (2014) Full Text: DOI