Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Characterization of BMO using Wavelets through Triebel-Lizorkin spaces
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Keywords

function space
Triebel-Lizorkin’s homogeneous space
wavelets
espacio de funciones de oscilación media acotada
espacio homogéneo de Triebel-Lizorkin
ondículas

How to Cite

Hernández-Hernández, J. E. (2019). Characterization of BMO using Wavelets through Triebel-Lizorkin spaces. Revista De Matemática: Teoría Y Aplicaciones, 26(1), 21–44. https://doi.org/10.15517/rmta.v26i1.36216

Abstract

In the present article it is presented a characterization of all those functions in the space of bounded mean oscillation functions, BMO, in terms of an appropriate wavelet, using an isomorphism between the aforementioned space and the homogeneous space of Triebel-Lizorkin F˙ 0,2 . In addition, a new inequality that involves the vector inequality of the maximal function of Hardy-Littlewood is prov

https://doi.org/10.15517/rmta.v26i1.36216
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References

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