Finol, Carlos E.; Maligranda, Lech; Persson, Lars Eric Reiteration for and exact relations between some real interpolation spaces. (English) Zbl 0776.46032 Function spaces, Proc. 2nd Int. Conf., Poznań/Pol. 1989, Teubner-Texte Math. 120, 238-247 (1991). Summary: [For the entire collection see Zbl 0731.00012.]For the real interpolation spaces \((A_ 0,A_ 1)_{f,q}\) with a parameter function \(f\) we prove a general reiteration result, where we need not assume some separation condition between the corresponding parameter functions. As one application we obtain a sharp embedding result between the spaces \((A_ 0,A_ 1)_{(\theta,b),q}\) obtained by using the function parameter \(f(t)=t^ \theta (1+|\log t|)^ b\). This result may be regarded as a generalization of some well-known embeddings between Lorentz-Zygmund spaces. MSC: 46M35 Abstract interpolation of topological vector spaces Keywords:real interpolation spaces; reiteration; sharp embedding result; embeddings between Lorentz-Zygmund spaces Citations:Zbl 0731.00012 PDFBibTeX XMLCite \textit{C. E. Finol} et al., in: Near convexity in Banach spaces. . 238--247 (1991; Zbl 0776.46032)