Geodesic
The quasinormed Neumann--Schatten ideals and embedding theorems for the generalized Lions--Peetre spaces of means
Algebra i analiz, Tome 22 (2010) no. 4, pp. 214-231.

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For the spaces $\varphi(X_0,X_1)_{p_0,p_1}$, which generalize the spaces of means introduced by Lions and Peetre to the case of functional parameters, necessary and sufficient conditions are found for embedding when all parameters (the function $\varphi$ and the numbers $1\leq p_0$, $p_1\leq\infty)$ vary. The proof involves a description of generalized Lions–Peetre spaces in terms of orbits and co-orbits of von Neumann–Schatten ideals (including quasinormed ideals).
Keywords: embedding theorems, method of means, functional parameter, generalized spaces. 
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V. I. Ovchinnikov. The quasinormed Neumann--Schatten ideals and embedding theorems for the generalized Lions--Peetre spaces of means. Algebra i analiz, Tome 22 (2010) no. 4, pp. 214-231. http://geodesic.mathdoc.fr/item/AA_2010_22_4_a6/

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