Vector-valued inequalities with weights

  1. Torrea Hernández, José Luis
  2. Fernández-Cabrera Marín, Luz M.
Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 1993

Volume: 37

Issue: 1

Pages: 177-208

Type: Article

DOI: 10.5565/PUBLMAT_37193_13 DIALNET GOOGLE SCHOLAR lock_openDDD editor

More publications in: Publicacions matematiques

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) 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.

Data source: Dialnet