Geodesic
Riesz potentials on Lorentz spaces
Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 467-475

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A special approach to Riesz potentials on Lorentz spaces is considered. The main properties of these potentials are established. An analogue of the Hardy–Littlewood–Sobolev theorem is proved for them. Finally, applications to the Cauchy problem for the Euler–Poisson–Darboux equation on Lorentz spaces are given. Bibliography: 10 titles. 
@article{SM_1987_58_2_a9,
     author = {I. A. Kipriyanov and L. A. Ivanov},
     title = {Riesz potentials on {Lorentz} spaces},
     journal = {Sbornik. Mathematics},
     pages = {467--475},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1987_58_2_a9/}
}
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I. A. Kipriyanov; L. A. Ivanov. Riesz potentials on Lorentz spaces. Sbornik. Mathematics, Tome 58 (1987) no. 2, pp. 467-475. http://geodesic.mathdoc.fr/item/SM_1987_58_2_a9/