This article is cited in 5 papers

Riesz potentials on Lorentz spaces

I. A. Kipriyanov, L. A. Ivanov


Abstract: 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.

UDC: 517.946

MSC: Primary 31C12, 53C50, 35J05; Secondary 26A33

Received: 06.04.1984

 English version: Mathematics of the USSR-Sbornik, 1987, 58:2, 467–475

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