Abstract

HERNANDEZ HERNANDEZ, Jorge Eliécer. Characterization of bmo using wavelets through triebellizorkin spaces. Rev. Mat [online]. 2019, vol.26, n.1, pp.21-44. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v26i1.35516.

[11]

In the present article it is presented a characterization of all those func- tions in the space of bounded mean oscillation functions, BM O, in terms of an appropriate wavelet, using an isomorphism between the aforemen- tioned space and the homogeneous space of Triebel-Lizorkin F˙ 0,2. In ad- dition, a new inequality that involves the vector inequality of the maximal function of Hardy-Littlewood is proved.

Keywords : BMO function space; Triebel-Lizorkin’s homogeneous space; wavelets.

        · abstract in Spanish     · text in English     · English ( pdf )