The S\nu spaces: new spaces defined with wavelet coefficients and related to multifractal analysis

In the context of multifractal analysis, more precisely in the context of the study of H\"older regularity, Stéphane Jaffard introduced new spaces of functions related to the distributionof wavelet coefficients, the ${\cal S}^{\nu}$ spaces.

From a functional analysis point of view, one can define the corresponding sequence spaces, endow them with natural topologies and study their properties. The results lead to construct probability Borel measures with applications in the context of multifractal analysis.