Vector-valued inequalities with weights

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

ISSN: 0214-1493

Datum der Publikation: 1993

Ausgabe: 37

Nummer: 1

Seiten: 177-208

Art: Artikel

DOI: 10.5565/PUBLMAT_37193_13 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Andere Publikationen in: Publicacions matematiques

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Zusammenfassung

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.

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