Geodesic
Characterization of Uniformly Convex and Smooth Banach Spaces by Using Carleson Measures in Bessel Settings
Journal of convex analysis, Tome 20 (2013) no. 3, pp. 763-811

Voir la notice de l'article provenant de la source Heldermann Verlag

We obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Bessel operators and Banach valued BMO-functions. By the way we describe q-uniformly convexity and smoothness of a Banach space in terms of the mapping properties of the Lusin integral defined by the Poisson semigroup for Bessel operators.
Classification : 46E40, 46B03, 42A50
Mots-clés : BMO, Bessel operators, Carleson measures, uniformly convex, uniformly smooth, Banach spaces 
@article{JCA_2013_20_3_JCA_2013_20_3_a8,
     author = {J. J. Betancor and A. J. Castro and L. Rodr{\'\i}guez-Mesa},
     title = {Characterization of {Uniformly} {Convex} and {Smooth} {Banach} {Spaces} by {Using} {Carleson} {Measures} in {Bessel} {Settings}},
     journal = {Journal of convex analysis},
     pages = {763--811},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2013},
     url = {http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a8/}
}
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J. J. Betancor; A. J. Castro; L. Rodríguez-Mesa. Characterization of Uniformly Convex and Smooth Banach Spaces by Using Carleson Measures in Bessel Settings. Journal of convex analysis, Tome 20 (2013) no. 3, pp. 763-811. http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a8/