Geodesic
The scales of spaces $L_p$ and their connection with Orlicz spaces
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 33-56 Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe the classes of measurable functions which are estimated in the spaces $L_p$ with the norm $\omega(p)$ for all $p\in(\alpha,\beta)$. It is well-known for some simple functions $\omega$ and $\beta=+\infty$ that such classes are embedded into the appropriate Orlicz spaces. In this article we study the connection between these classes and other symmetric (Lorentz, Marcinkiewicz and Orlicz) spaces for arbitrary $\omega$, $\alpha$ and $\beta$. Our main goal is to show two-sided embedding or coincidence with Orlicz spaces. 
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A. E. Mamontov. The scales of spaces $L_p$ and their connection with Orlicz spaces. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 6 (2006) no. 2, pp. 33-56. http://geodesic.mathdoc.fr/item/VNGU_2006_6_2_a2/

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