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/}
}
TY  - JOUR
AU  - J. J. Betancor
AU  - A. J. Castro
AU  - L. Rodríguez-Mesa
TI  - Characterization of Uniformly Convex and Smooth Banach Spaces by Using Carleson Measures in Bessel Settings
JO  - Journal of convex analysis
PY  - 2013
SP  - 763
EP  - 811
VL  - 20
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a8/
ID  - JCA_2013_20_3_JCA_2013_20_3_a8
ER  - 
%0 Journal Article
%A J. J. Betancor
%A A. J. Castro
%A L. Rodríguez-Mesa
%T Characterization of Uniformly Convex and Smooth Banach Spaces by Using Carleson Measures in Bessel Settings
%J Journal of convex analysis
%D 2013
%P 763-811
%V 20
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2013_20_3_JCA_2013_20_3_a8/
%F JCA_2013_20_3_JCA_2013_20_3_a8
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/