The duality between H1 and BMO, the space of functions of bounded mean oscillation (see [JN]), was first proved by C. Fefferman (see [F], [FS]) and then other proofs of it were obtained.
In this paper we shall study such space in little more detail and we shall consider the H1-BMO duality for vector-valued functions in the more general setting of spaces of homogeneous type (see [CW]).
@article{urn:eudml:doc:41678,
title = {Vector valued measures of bounded mean oscillation.},
journal = {Publicacions Matem\`atiques},
volume = {35},
year = {1991},
pages = {119-130},
mrnumber = {MR1103610},
zbl = {0746.46040},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41678}
}
Blasco, Oscar. Vector valued measures of bounded mean oscillation.. Publicacions Matemàtiques, Tome 35 (1991) pp. 119-130. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41678/