Vector-valued inequalities with weights.

Fernández-Cabrera, Luz M., and Torrea, José L.. "Vector-valued inequalities with weights.." Publicacions Matemàtiques 37.1 (1993): 177-208. <http://eudml.org/doc/41532>.

@article{Fernández1993,
abstract = {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) dxis 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.},
author = {Fernández-Cabrera, Luz M., Torrea, José L.},
journal = {Publicacions Matemàtiques},
keywords = {Análisis de Fourier; Desigualdades; Operadores maximales; Funciones de Littlewood-Paley; Transformada de Hilbert; singular operators; Koosis problem; weighted norm inequalities; vector- valued inequalities; Carleson's maximal operator; Fourier partial sums; Littlewood-Paley square functions; Hilbert transform; U.M.D. Banach spaces},
language = {eng},
number = {1},
pages = {177-208},
title = {Vector-valued inequalities with weights.},
url = {http://eudml.org/doc/41532},
volume = {37},
year = {1993},
}

TY - JOUR
AU - Fernández-Cabrera, Luz M.
AU - Torrea, José L.
TI - Vector-valued inequalities with weights.
JO - Publicacions Matemàtiques
PY - 1993
VL - 37
IS - 1
SP - 177
EP - 208
AB - 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) dxis 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.
LA - eng
KW - Análisis de Fourier; Desigualdades; Operadores maximales; Funciones de Littlewood-Paley; Transformada de Hilbert; singular operators; Koosis problem; weighted norm inequalities; vector- valued inequalities; Carleson's maximal operator; Fourier partial sums; Littlewood-Paley square functions; Hilbert transform; U.M.D. Banach spaces
UR - http://eudml.org/doc/41532
ER -