Geodesic
On the Principle of Duality in Lorentz Spaces
Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 959-979

Voir la notice de l'article provenant de la source Cambridge University Press

characterization of the spaces dual to weighted Lorentz spaces are given by means of reverse Hölder inequalities (Theorems 2.1, 2.2). This principle of duality is then applied to characterize weight functions for which the identity operator, the Hardy-Littlewood maximal operator and the Hilbert transform are bounded on weighted Lorentz spaces.
DOI : 10.4153/CJM-1996-050-3
Mots-clés : 47B38, 42B20, 46E30, 26D15 
Gol'Dman, M. L.; Heinig, H. P.; Stepanov, V. D. On the Principle of Duality in Lorentz Spaces. Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 959-979. doi: 10.4153/CJM-1996-050-3
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