  In this paper we give a thorough study of Lipschitz spaces. We obtain the
following new results:
  (1) Sharp Jawerth-Franke-type embeddings between the Besov and Lipschitz
spaces extending the classical results for Besov and Sobolev spaces;
  (2) Sharp embeddings between Lipschitz spaces with different parameters
extending the Br\'ezis-Wainger result;
  (3) Characterizations for Lipschitz spaces norms via Fourier transforms and
wavelets;
  (4) Sharp embeddings from Lipschitz spaces into Lebesgue/Lorentz-Zygmund
spaces.
