Wavelet transforms and symmetric tube domains.
Weak-Type (1-1) Inequality for the Monge-Ampère SIO's.
Weight inequalities for singular integrals defined on spaces of homogeneous and nonhomogeneous type.
Weighted inequalities and the shape of approach regions
We characterize geometric properties of a family of approach regions by means of analytic properties of the class of weights related to the boundedness of the maximal operator associated with this family.
Weighted norm inequalities and homogeneous cones
Weighted norm inequalities for vector-valued singular integrals on homogeneous spaces
Let X be a homogeneous space and let E be a UMD Banach space with a normalized unconditional basis . Given an operator T from to L¹(X), we consider the vector-valued extension T̃ of T given by . We prove a weighted integral inequality for the vector-valued extension of the Hardy-Littlewood maximal operator and a weighted Fefferman-Stein inequality between the vector-valued extensions of the Hardy-Littlewood and the sharp maximal operators, in the context of Orlicz spaces. We give sufficient...
Weighted norm inequality for the Poisson integral on the sphere.
Weighted Plancherel formula. Irreducible unitary representations and eigenspace representations.
Weyl calculus for complex and real symmetric domains
We define the Weyl functional calculus for real and complex symmetric domains, and compute the associated Weyl transform in the rank 1 case.
When is a Riesz distribution a complex measure?
Let be the Riesz distribution on a simple Euclidean Jordan algebra, parametrized by . I give an elementary proof of the necessary and sufficient condition for to be a locally finite complex measure (= complex Radon measure).
Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups.