Hörmander type multiplier theorem on complex Iwasawa $AN$ groups
Volume 118 / 2010
Colloquium Mathematicum 118 (2010), 587-591
MSC: Primary 22E30.
DOI: 10.4064/cm118-2-14
Abstract
We prove that, for a distinguished laplacian on an Iwasawa $AN$ group corresponding to a complex semisimple Lie group, a Hörmander type multiplier theorem holds. Our argument is based on Littlewood–Paley theory.