Interpolation theorem on lorentz spaces over weighted measure spaces

Shinya Moritoh*, Miyuki Niwa, Takuya Sobukawa

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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 languageEnglish
Pages (from-to)2329-2334
Number of pages6
JournalProceedings of the American Mathematical Society
Issue number8
Publication statusPublished - 2006 Aug
Externally publishedYes


  • Weighted Lorentz spaces
  • Weighted interpolation

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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