We prove that on a product of generalized Heisenberg groups, a Hörmander type multiplier theorem for Rockland operators is true with the critical index n/2 + ϵ, ϵ>0, where n is the euclidean (topological) dimension of the group.
@article{bwmeta1.element.bwnjournal-article-cmv69i1p29bwm,
author = {Waldemar Hebisch and Jacek Zienkiewicz},
title = {Multiplier theorem on generalized Heisenberg groups II},
journal = {Colloquium Mathematicae},
volume = {70},
year = {1996},
pages = {29-36},
zbl = {0835.43009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv69i1p29bwm}
}
Hebisch, Waldemar; Zienkiewicz, Jacek. Multiplier theorem on generalized Heisenberg groups II. Colloquium Mathematicae, Tome 70 (1996) pp. 29-36. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv69i1p29bwm/
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