Hardy spaces on SU(2)
Homogeneous algebras on the circle. II. Multipliers, Ditkin conditions
This paper considers the Lipschitz subalgebras of a homogeneous algebra on the circle. Interpolation space theory is used to derive estimates for the multiplier norm on closed primary ideals in , . From these estimates the Ditkin and Analytic Ditkin conditions for follow easily. Thus the well-known theory of (regular) Banach algebras satisfying the Ditkin condition applies to as does the theory developed in part I of this series which requires the Analytic Ditkin condition.Examples are discussed...
Homogeneous Besov spaces on locally compact Vilenkin groups
Homomorphisms of -algebras on signed polynomial hypergroups.
Hörmander type multiplier theorem on complex Iwasawa AN groups
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.