Characterization of bmo using wavelets through triebel-lizorkin spaces

• HERNÁNDEZ HERNÁNDEZ, JORGE ELIÉCER ^[1]
  1. [1] Universidad Centroccidental Lisandro Alvarado

     Universidad Centroccidental Lisandro Alvarado

     Venezuela

     
• Localización: Revista de Matemática: Teoría y Aplicaciones, ISSN 2215-3373, ISSN-e 2215-3373, Vol. 26, Nº. 1, 2019, págs. 21-44
• Idioma: inglés
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• Resumen

  • 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