Littlewood functions, Hankel multipliers and power bounded operators on a Hilbert space
Littlewood-Paley characterization of Hölder-Zygmund spaces on stratified Lie groups
We give a characterization of the Hölder-Zygmund spaces () on a stratified Lie group in terms of Littlewood-Paley type decompositions, in analogy to the well-known characterization of the Euclidean case. Such decompositions are defined via the spectral measure of a sub-Laplacian on , in place of the Fourier transform in the classical setting. Our approach mainly relies on almost orthogonality estimates and can be used to study other function spaces such as Besov and Triebel-Lizorkin spaces...
Littlewood-Paley -functions and multipliers for the Laguerre hypergroup.
Littlewood-Paley g-functions with rough kernels on homogeneous groups
Let 𝔾 be a homogeneousgroup on ℝⁿ whose multiplication and inverse operations are polynomial maps. In 1999, T. Tao proved that the singular integral operator with Llog⁺L function kernel on ≫ is both of type (p,p) and of weak type (1,1). In this paper, the same results are proved for the Littlewood-Paley g-functions on 𝔾
Littlewood-Paley theory on solenoids
Local boundary data of eigenfunctions on a Riemannian symmetric space.
Local Hardy spaces on Chébli-Trimèche hypergroups
We investigate the local Hardy spaces on Chébli-Trimèche hypergroups, and establish the equivalence of various characterizations of these in terms of maximal functions and atomic decomposition.
Localization of Spherical Harmonic Expansions.
Localization principle for Triebel-Lizorkin spaces on spaces of homogeneous type.
The author establishes the localization principle for the Triebel-Lizorkin spaces on spaces of homogeneous type.
Locally Compact Groups Acting on Trees and Property T.
Locally compact quantum groups
Locally compact subgroups of the spectrum of the measure algebra III.
Locally compact subgroups of the spectrum of the measure algebra II.
Locally compact subgroups of the spectrum of the measure algebra.
Locally convex algebras which determine a locally compact group
There are several algebras associated with a locally compact group 𝓖 which determine 𝓖 in the category of topological groups, such as L¹(𝓖), M(𝓖), and their second duals. In this article we add a fairly large family of locally convex algebras to this list. More precisely, we show that for two infinite locally compact groups 𝓖₁ and 𝓖₂, there are infinitely many locally convex topologies τ₁ and τ₂ on the measure algebras M(𝓖₁) and M(𝓖₂), respectively, such that (M(𝓖₁),τ₁)** is isometrically...
Logarithmic Density and Measures on Semigroups.
L’opérateur de Casimir de
Lp Estimates for Convolution Operators Defined by Compactly Supported Distributions in Rn.
Lp multipliers and their H1-L1 estimates on the Heisenberg group.
We give a Hörmander-type sufficient condition on an operator-valued function M that implies the Lp-boundedness result for the operator TM defined by (TMf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group Hn. Here ^ denotes the Fourier transform on Hn defined in terms of the Fock representations. We also show the H1-L1 boundedness of TM, ||TMf||L1 ≤ C||f||H1, for Hn under the same hypotheses of Lp-boundedness.
Lp multipliers on noncompact symmetric spaces.