### Abstract

In 1997 Ferreyra proved that it is impossible to extend the Stein-Weiss theorem in the context of Lorentz spaces. In this paper we obtain an interpolation theorem on Lorentz spaces over weighted measure spaces.

Original language | English |
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Pages (from-to) | 2329-2334 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 134 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2006 Aug 1 |

Externally published | Yes |

### Keywords

- Weighted Lorentz spaces
- Weighted interpolation

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Moritoh, S., Niwa, M., & Sobukawa, T. (2006). Interpolation theorem on lorentz spaces over weighted measure spaces.

*Proceedings of the American Mathematical Society*,*134*(8), 2329-2334. https://doi.org/10.1090/S0002-9939-06-08395-X