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Are generalized Lorentz ``spaces'' really spaces?
- Source :
- Proceedings of the American Mathematical Society; Jul2004, Vol. 132 Issue 12, p3615-3625, 11p
- Publication Year :
- 2004
-
Abstract
- We show that the Lorentz space $\Lambda^p(w)$ need not be a linear set for certain ``non-classical" weights $w$. We establish necessary and sufficient conditions on $p$ and $w$ for this situation to occur. [ABSTRACT FROM AUTHOR]
- Subjects :
- FUNCTION spaces
LORENTZ spaces
INTERPOLATION spaces
NUMERICAL calculations
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 132
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 15092507