A multiplier theorem for H-type groups
We prove an -boundedness result for a convolution operator with rough kernel supported on a hyperplane of a group of Heisenberg type.
A multiplier theorem for ultraspherical series
A new approach to function spaces on quasi-metric spaces.
A new characterization of by John-Strömberg sharp maximal functions
Let be a nonnegative Radon measure on which only satisfies for all , , with some fixed constants and In this paper, a new characterization for the space of Tolsa in terms of the John-Strömberg sharp maximal function is established.
A new criterion for local non-solvability of homogeneous left invariant differential operators on nilpotent Lie groups.
A new form of the spherical expansion of zonal functions and Fourier transforms of -finite functions.
A new group algebra and lacunary sets in discrete noncommutative groups
A new proof of the -conjecture for locally compact abelian groups
A new semilattice of function algebras and its Boolean form on a lattice of groups.
A nilpotent Lie algebra and eigenvalue estimates
The aim of this paper is to demonstrate how a fairly simple nilpotent Lie algebra can be used as a tool to study differential operators on with polynomial coefficients, especially when the property studied depends only on the degree of the polynomials involved and/or the number of variables.
A non-seperable measureable choice principle related to induced representations.
A note on analytic measures.
A note on angular semigroups.
A note on conservative measures on semigroups.
A note on Helson sets
A note on intersections of non-Haar null sets
We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.
A note on lifting of Carnot groups.
We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.
A Note on L-sets
Answering a question of Pisier, posed in [10], we construct an L-set which is not a finite union of translates of free sets.
A note on multipliers on a Segal algebra
A note on power bounded restrictions of Fourier-Stieltjes transforms.