Hölder spaces; Admissible sequence; Wavelet coefficients; Hölder exponent; Interpolation of spaces; Interpolation of Sobolev; Finite differences; Approximation by polynomials; Approximation by convolution
Abstract :
[en] The Hölder spaces provide a natural way for measuring the smoothness of a function. These spaces appear in different areas such as approximation theory and multifractal analysis. The purpose of this poster is to present a generalization of such spaces as well as some recent results about their characterizations. These spaces are a particular case of a generalization of Besov Spaces who have recently been extensively studied.
