Interpolation theorem on Lorentz spaces over weighted measure spaces
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- by Shinya Moritoh, Miyuki Niwa and Takuya Sobukawa PDF
- Proc. Amer. Math. Soc. 134 (2006), 2329-2334 Request permission
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.References
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Additional Information
- Shinya Moritoh
- Affiliation: Department of Mathematics, Nara Women’s University, Kitauoya-Nishimachi Nara, Japan 630-8506
- Email: moritoh@cc.nara-wu.ac.jp
- Miyuki Niwa
- Affiliation: Graduate School of Human Culture, Nara Women’s University, Kitauoya-Nishimachi Nara, Japan 630-8506
- Email: yam.kubo@cc.nara-wu.ac.jp
- Takuya Sobukawa
- Affiliation: Department of Education, Okayama University, 3-1-1 Tsushima-Naka Okayama, Japan 700-8530
- Email: sobu@cc.okayama-u.ac.jp
- Received by editor(s): January 10, 2003
- Received by editor(s) in revised form: March 8, 2005
- Published electronically: February 6, 2006
- Communicated by: Christopher D. Sogge
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 134 (2006), 2329-2334
- MSC (2000): Primary 46B70; Secondary 46E30
- DOI: https://doi.org/10.1090/S0002-9939-06-08395-X
- MathSciNet review: 2213706