@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},
year = {1987},
volume = {58},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1987_58_2_a9/}
}
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/
[1] Weil H., “Bemerkungen zum Begriff der Differentialquotienten gebrochener Ordnung”, Vier. Natttr. Gesellschaft, Zürich, 62 (1917), 296–302
[2] Riesz M., “L'intégrale de Riemann–Liouville et le problème de Cauchy”, Acta Math., 81 (1949), 1–233 | DOI | MR
[3] Hardy G. H., Littlwood J. E., “Some properties of fractional integrals I”, Math. Zeit., 27 (1927), 565–606 | DOI | MR
[4] Sobolev S. L., “Ob odnoi teoreme funktsionalnogo analiza”, Matem. sb., 4(46) (1938), 471–497 | Zbl
[5] Helgason S., The Radon Transform, Birkhäuser, Boston, Basel, Stuttgart, 1980 | MR | Zbl
[6] Kipriyanov I. A., Ivanov L. A., “Uravneniya Eilera–Puassona–Darbu v rimanovom prostranstve”, DAN SSSR, 260:6 (1981), 790–794 | MR | Zbl
[7] Gelfand I. M., Graev M. I., Vilenkin N. Ya., Integralnaya geometriya i svyazannye s nei voprosy teorii predstavlenii. Obobschennye funktsii, vyp. 5, Fizmatgiz, M., 1962
[8] Kipriyanov I. A., Ivanov L. A., “Klassicheskaya teoriya zadachi Koshi dlya uravneniya Eilera–Puassona–Darbu v rimanovom prostranstve s postoyannoi kriviznoi”, Kraevye zadachi dlya nelineinykh uravnenii, Novosibirsk, 1982, 30–45
[9] Kurant R., Gilbert D., Metody matematicheskoi fiziki, t. 2, GITTL, M.-L., 1951
[10] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964 | Zbl