The dual of weak L p
Cwikel, Michael
Annales de l'Institut Fourier, Tome 25 (1975), p. 81-126 / Harvested from Numdam
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Soit 1<p<∞. Nous donnons une caractérisation de l’espace dual de L p -faible sur un espace mesuré non-atomique.

For 1<p<∞, a characterization is given of the dual space of weak L p taken over a non atomic measure space.

@article{AIF_1975__25_2_81_0,
     author = {Cwikel, Michael},
     title = {The dual of weak $L^p$},
     journal = {Annales de l'Institut Fourier},
     volume = {25},
     year = {1975},
     pages = {81-126},
     doi = {10.5802/aif.556},
     mrnumber = {53 \#11355},
     zbl = {0301.46025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1975__25_2_81_0}
}

Cwikel, Michael. The dual of weak $L^p$. Annales de l'Institut Fourier, Tome 25 (1975) pp. 81-126. doi : 10.5802/aif.556. http://gdmltest.u-ga.fr/item/AIF_1975__25_2_81_0/

[1] E. Bishop and R.R. Phelps, A proof that every Banach space is subreflexive, Bull. Amer. Math. Soc., 67 (1961), 97-98.

[2] M. Cwikel, On the conjugates of some function space, Studia Math., 45 (1973), 49-55. | MR 23 #A503 | Zbl 0098.07905

[3] M. Cwikel, Some results in the Lions-Peetre interpolation theory, Thesis, Weizmann Institute of Science, 1973. | MR 51 #6387 | Zbl 0219.46026

[4] M. Cwikel and Y. Sagher, L(p, ∞)*, Indiana Univ. Math. J., 21 (1972), 781-786.

[5] N. Dunford and J.T. Schwartz, Linear Operators, Part I : General Theory, Interscience, New York 1958. | MR 45 #4139 | Zbl 0244.46035

[6] R.A. Hunt, On L(p,q) spaces, L'Enseignement Math., 12 (1966), 249-276. | MR 22 #8302 | Zbl 0084.10402

[7] R.C. James, Reflexivity and the sup of linear functionals, Israël J. Math., 13 (1972), 289-330. | MR 36 #6921 | Zbl 0181.40301

[8] B. Muckenhoupt, Weighted norm inequalities for the Hardy maximal function, Trans. Amer. Math. Soc., 165 (1972), 207-226. | MR 49 #3506 | Zbl 0252.46012