Geodesic
Sharp Interpolation Theorems in Couples of $L_p$ Spaces for Generalized Lions--Peetre Spaces of Means
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 4, pp. 91-94

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Sharp interpolation theorems for linear operators acting on arbitrary couples of $L_p$ spaces are found in the family of generalized Lions–Peetre spaces of means. This family includes the Lorentz spaces with functional quasi-concave parameters, the Orlicz spaces, and spaces similar to them.
Mots-clés : Lebesgue space
Keywords: Lorentz space with functional parameters, Orlicz space, interpolation theorem for linear operators, sharp interpolation theorem, generalized Lions–Peetre space of means. 
@article{FAA_2012_46_4_a7,
     author = {V. I. Ovchinnikov},
     title = {Sharp {Interpolation} {Theorems} in {Couples} of $L_p$ {Spaces} for {Generalized} {Lions--Peetre} {Spaces} of {Means}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {91--94},
     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2012_46_4_a7/}
}
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V. I. Ovchinnikov. Sharp Interpolation Theorems in Couples of $L_p$ Spaces for Generalized Lions--Peetre Spaces of Means. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 4, pp. 91-94. http://geodesic.mathdoc.fr/item/FAA_2012_46_4_a7/