## View abstract

### Session S05 - Advances on Spaces of Non-absolutely Integrable Functions and Related Applications

Monday, July 12, 13:10 ~ 13:40 UTC-3

## On the equivalence between Weak BMO and the space of derivatives of the Zygmund class

### Eddy Kwessi

#### Trinity University, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it. document.getElementById('cloakc5fd691bc3d0abd602992b06ea547269').innerHTML = ''; var prefix = '&#109;a' + 'i&#108;' + '&#116;o'; var path = 'hr' + 'ef' + '='; var addyc5fd691bc3d0abd602992b06ea547269 = '&#101;kw&#101;ss&#105;' + '&#64;'; addyc5fd691bc3d0abd602992b06ea547269 = addyc5fd691bc3d0abd602992b06ea547269 + 'tyr&#105;n&#105;ty' + '&#46;' + '&#101;d&#117;'; var addy_textc5fd691bc3d0abd602992b06ea547269 = '&#101;kw&#101;ss&#105;' + '&#64;' + 'tyr&#105;n&#105;ty' + '&#46;' + '&#101;d&#117;';document.getElementById('cloakc5fd691bc3d0abd602992b06ea547269').innerHTML += '<a ' + path + '\'' + prefix + ':' + addyc5fd691bc3d0abd602992b06ea547269 + '\'>'+addy_textc5fd691bc3d0abd602992b06ea547269+'<\/a>';

In this paper, we will discuss the space of functions of weak bounded mean oscillation. In particular, we will show that this space is the dual space of the special atom space, whose dual space was already known to be the space of derivative of functions (in the sense of distribution) belonging to the Zygmund class of functions. We show in particular that this proves that the Hardy space $H^1$ strictly contains the space special atom space.