Document Type
Article
Publication Date
1-2021
Abstract
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 H1 strictly contains the special atom space.
Identifier
85107728817 (Scopus)
DOI
10.1515/dema-2021-0013
Publisher
De Gruyter
ISSN
04201213
Repository Citation
Kwessi, E. (2021). On the equivalence between weak BMO and the space of derivatives of the Zygmund class. Demonstratio Mathematica, 54(1), 140-150. http://doi.org/10.1515/dema-2021-0013
Publication Information
Demonstratio Mathematica