Besov spaces on fractals and tempered radon measures We study Besov spaces on d sets and provide their characterization by means of Hölder continuous atoms wavelets and counterparts of Faber Schauder functions. We follow the connection between isotropic Besov spaces on d sets which are obtained as a cartesian product of bizarre fractal curves and anisotropic Besov spaces on the unit cube. We also clarify the relation between Radon measure tempered distributions and weighted Besov spaces.