Ir al contenido

Documat

Resumen de Vector-valued inequalities with weights

José Luis Torrea Hernández Árbol académico, Luz M. Fernández-Cabrera Marín Árbol académico

  • 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.

Fundación Dialnet

Mi Documat