Geodesic
Some imbedding theorems for the function spaces – $\mathscr L_{r,p,\theta}^{\lambda,\varphi,b_s}(G)$
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 70 (1977), pp. 49-75 Cet article a éte moissonné depuis la source Math-Net.Ru

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One considers imbedding type theorems for the spaces – $\mathscr L_{r,p,\theta}^{\lambda,\varphi,b_s}(G)$ of real functions, defined on a domain $G$ of the $n$-dimensional Euclidean space $E^n$. As opposed to the known spaces of this type, the power function $t^a$, characterizing the degree of the smoothness of the functions, is replaced here by a function $\varphi(t)$, arbitrary in a certain sense. 
@article{ZNSL_1977_70_a3,
     author = {V. P. Il'in},
     title = {Some imbedding theorems for the function spaces {\textendash} $\mathscr L_{r,p,\theta}^{\lambda,\varphi,b_s}(G)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {49--75},
     year = {1977},
     volume = {70},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_70_a3/}
}
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V. P. Il'in. Some imbedding theorems for the function spaces – $\mathscr L_{r,p,\theta}^{\lambda,\varphi,b_s}(G)$. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms, Tome 70 (1977), pp. 49-75. http://geodesic.mathdoc.fr/item/ZNSL_1977_70_a3/