A look at BMOφ(ω) through Carleson measures

Harboure, Eleonor Ofelia; Salinas, Oscar Mario; Viviani, Beatriz Eleonora

info:eu-repo/semantics/article

Fecha

2007-06

Registro en:

Harboure, Eleonor Ofelia; Salinas, Oscar Mario; Viviani, Beatriz Eleonora; A look at BMOφ(ω) through Carleson measures; Birkhauser Verlag Ag; Journal Of Fourier Analysis And Applications; 13; 3; 6-2007; 267-284

1069-5869

http://hdl.handle.net/11336/84133

1531-5851

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4363026

Autor

Harboure, Eleonor Ofelia

Salinas, Oscar Mario

Viviani, Beatriz Eleonora

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

As Fefferman and Stein showed, there is a tight connection between Carleson measures and BMO functions. In this work we extend this type of results to the more general scope of the BMOϕ(ω) spaces. As a byproduct a weighted version of the Triebel-Lizorkin space F˙0∞,2 is introduced, which turns out to be isomorphic to BMO(ω) as in the unweighted case.

Materias

Bounded Mean Oscillation

Carleson Measure

Characterizations

Weigths

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