Vector-valued inequalities with weights.
Fernández-Cabrera, Luz M. ; Torrea, José L.
Publicacions Matemàtiques, Tome 37 (1993), p. 177-208 / Harvested from Biblioteca Digital de Matemáticas
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This paper deals with the following problem:

Let T be a given operator. Find conditions on v(x) (resp. u(x)) such that

∫ |Tf(x)|pu(x) dx ≤ C ∫ |f(x)|pv(x) dx

is satisfied for some u(x) (resp. v(x)).

Using vector-valued inequalities the problem is solved for: Carleson's maximal operator of Fourier partial sums, Littlewood-Paley square functions, Hilbert transform of functions valued in U.M.D. Banach spaces and operators in the upper-half plane.

Publié le : 1993-01-01
DMLE-ID : 4042 
@article{urn:eudml:doc:41532,
     title = {Vector-valued inequalities with weights.},
     journal = {Publicacions Matem\`atiques},
     volume = {37},
     year = {1993},
     pages = {177-208},
     mrnumber = {MR1240931},
     zbl = {0798.42007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41532}
}

Fernández-Cabrera, Luz M.; Torrea, José L. Vector-valued inequalities with weights.. Publicacions Matemàtiques, Tome 37 (1993) pp. 177-208. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41532/