We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm212-2-2, author = {Isabelle Gallagher and Yannick Sire}, title = {Besov algebras on Lie groups of polynomial growth}, journal = {Studia Mathematica}, volume = {209}, year = {2012}, pages = {119-139}, zbl = {1264.22018}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm212-2-2} }
Isabelle Gallagher; Yannick Sire. Besov algebras on Lie groups of polynomial growth. Studia Mathematica, Tome 209 (2012) pp. 119-139. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm212-2-2/