The proof that H¹(δ) and H¹(δ²) are not isomorphic is simplified. This is done by giving a new and simple proof to a martingale inequality of J. Bourgain.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-1-2, author = {Paul F. X. M\"uller}, title = {A simplification in the proof of the non-isomorphism between H$^1$($\delta$) and H$^1$($\delta$$^2$)}, journal = {Studia Mathematica}, volume = {151}, year = {2002}, pages = {13-16}, zbl = {0998.30033}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-1-2} }
Paul F. X. Müller. A simplification in the proof of the non-isomorphism between H¹(δ) and H¹(δ²). Studia Mathematica, Tome 151 (2002) pp. 13-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm150-1-2/