### 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 |
---|---|

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 |

Externally published | Yes |

### Fingerprint

### Keywords

- Weighted interpolation
- Weighted Lorentz spaces

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*134*(8), 2329-2334. https://doi.org/10.1090/S0002-9939-06-08395-X

**Interpolation theorem on lorentz spaces over weighted measure spaces.** / Moritoh, Shinya; Niwa, Miyuki; Sobukawa, Takuya.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 134, no. 8, pp. 2329-2334. https://doi.org/10.1090/S0002-9939-06-08395-X

}

TY - JOUR

T1 - Interpolation theorem on lorentz spaces over weighted measure spaces

AU - Moritoh, Shinya

AU - Niwa, Miyuki

AU - Sobukawa, Takuya

PY - 2006/8

Y1 - 2006/8

N2 - 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.

AB - 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.

KW - Weighted interpolation

KW - Weighted Lorentz spaces

UR - http://www.scopus.com/inward/record.url?scp=33746368688&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746368688&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-06-08395-X

DO - 10.1090/S0002-9939-06-08395-X

M3 - Article

VL - 134

SP - 2329

EP - 2334

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 8

ER -