We determine certain classes of Fourier multipliers between weighted anisotropic Besov and Triebel spaces and where and are weight functions of polynomial growth. To this end we refine a method based on discrete characterizations of function spaces which was introduced in Part I of the paper. Thus widely generalized versions of known results of Bui, Johnson and others are obtained in a unified way.
Cite this article
P. Dintelmann, Fourier Multipliers between Weighted Anisotropic Function Spaces. Part II: Besov-Triebel Spaces. Z. Anal. Anwend. 15 (1996), no. 4, pp. 799–818DOI 10.4171/ZAA/731