Characterizations of BMO(phi)(w)

ELEONOR HARBOURE; OSCAR SALINAS; BEATRIZ VIVIANI

ANALYSIS MATHEMATICA

Akadémiai Kiadó - Springer

Lugar: Szeged (Hungría); Año: 2004 vol. 30 p. 99 - 122

0133-3852

In this paper we give two characterizations of func- tions with weighted mean oscillation over cubes controlled by a non-negative function ´, that is functions in BMO´(w). The ¯rst one, by conditions on their rearrangements, and the second one, by means of Riesz transforms and ´-Lipschitz functions. These results extend those contained in [S] and [J]. results extend those contained in [S] and [J]. one, by conditions on their rearrangements, and the second one, by means of Riesz transforms and ´-Lipschitz functions. These results extend those contained in [S] and [J]. results extend those contained in [S] and [J]. ´, that is functions in BMO´(w). The ¯rst one, by conditions on their rearrangements, and the second one, by means of Riesz transforms and ´-Lipschitz functions. These results extend those contained in [S] and [J]. results extend those contained in [S] and [J]. ´-Lipschitz functions. These results extend those contained in [S] and [J].