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

• Autores: Damien Kreit, Samuel Nicolay
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 172, Nº 1, 2013, págs. 23-36
• Idioma: inglés
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• Resumen

  • 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.