Interpolation of Besov B (p tau) (sigma q) and Lizorkin-Triebel F (p tau) (sigma q) spaces

摘要

An interpolation method is introduced for anisotropic spaces which generalizes the method by D. L. Fernandez [4]. By means of this method, interpolation properties of Besov B (p tau) (sigma q) and Lizorkin-Triebel F (p tau) (sigma q) spaces are investigated. Among others, the completeness of the scale of these spaces is proved with respect to the considered interpolation method.