Hölder; generalized; admissible sequence; généralisés; suite admissible
Abstract :
[en] In this paper, we show that the main properties of the usual Hölder spaces can be transposed in the setting of the Hölder spaces defined via admissible sequences. We give several alternative definitions of these spaces (in terms of polynomials, convolution, derivatives and Taylor's formula) as well as embedding conditions of these spaces. [fr] Nous démontrons dans ce papier que les propriétés classiques des espaces de Hölder sont conservées pour les espaces de Hölder généralisés en terme de suite admissible. Nous donnons en particulier des définitions équivalentes de ces espaces ainsi que des conditions d'emboitement de tels espaces.
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