| Abstract : In this talk we describe a class of anisotropic Besov and Triebel- Lizorkin spaces associated with general expansive dilations and doubling measures on Euclidean spaces. This work generalizes the isotropic methods of dyadic wavelet transforms of Frazier and Jawerth to non-isotropic settings. We will discuss results involving boundedness of wavelet transforms, almost diagonality, and smooth atomic and molecular decompositions. We will also present results involving duality and complex and real interpolation for these spaces. |