Resumen de Characterizations of the elements of generalized Hölder�Zygmund spaces by means of their representation

Damien Kreit, Samuel Nicolay

• In this paper, we give three characterizations of the elements of generalized H¨older�Zygmund spaces.

  The first one, based on the Littlewood�Paley decomposition is already known, but the proof given here is much simpler. The second one, based on the wavelet decompositions generalizes a result obtained by Jaffard and Meyer. The third one uses generalized interpolation spaces. These results naturally extend the ones holding for the classical H¨older�Zygmund spaces.