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Let $G$ be a locally compact group, for $p \in (1, \infty)$ let $P f_{p} (G)$ denote the closure of $L^{1} (G)$ in the convolution operators on $L^{p} (G)$ . Denote $W_{p} (G)$ the dual of $P f_{p} (G)$ which is contained in the space of pointwise multipliers of the Figa-Talamanca Herz space $A_{p} (G)$ . It is shown that on the unit sphere of $W_{p} (G)$ the $σ (W_{p}, P f_{p})$ topology and the strong $A_{p}$ -multiplier topology coincide.

An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators

Kamoun, Lotfi (2005)

Fractional Calculus and Applied Analysis

2000 Mathematics Subject Classification: 42B10, 43A32.In this paper we take the strip KL = [0, +∞[×[−Lπ, Lπ], where L is a positive integer. We consider, for a nonnegative real number α, two partial differential operators D and Dα on ]0, +∞[×] − Lπ, Lπ[. We associate a generalized Fourier transform Fα to the operators D and Dα. For this transform Fα, we establish an Lp − Lq − version of the Morgan's theorem under the assumption 1 ≤ p, q ≤ +∞.

An L-subspace generated by a certain measure with countable spectrum

Keiji Izuchi (1981)

Colloquium Mathematicae

An obstruction to $ℓ^{p}$ -dimension

Nicolas Monod, Henrik Densing Petersen (2014)

Annales de l’institut Fourier

Let $G$ be any group containing an infinite elementary amenable subgroup and let $2 < p < \infty$ . We construct an exhaustion of $ℓ^{p} G$ by closed invariant subspaces which all intersect trivially a fixed non-trivial closed invariant subspace. This is an obstacle to $ℓ^{p}$ -dimension and gives an answer to a question of Gaboriau.

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An $F_{σ}$ semigroup of zero measure which contains a translate of every countable set

An Imprimitivity Theorem for Hypergroups.

An infinite version of the Pólya enumeration theorem.

An Integral Representation of Positive Definite Functions on a Clifford Semigroup.

An invariant for finitely presented ...G-modules.

An Inversion Formula for the Radon Transform on Trees.

An inversion formula for weighted orbital integrals

An inversion problem for singular integral operators on homogeneous groups

An $L_{p}$ -criterion of amenability for a locally compact group.

An $L^{p}$ - $L^{q}$ version of Hardy's theorem for spherical Fourier transform on semisimple Lie groups.

An $L^{p}$ - $L^{q}$ -version of Morgan's theorem for the $n$ -dimensional Euclidean motion group.

An $L^{p}$ -version of a theorem of D.A. Raikov

An Lp − Lq - Version of Morgan's Theorem Associated with Partial Differential Operators

An L-subspace generated by a certain measure with countable spectrum

An obstruction to $ℓ^{p}$ -dimension

An Order Theoretical Characterization of the Fourier Transform.

Analogues of Besicovitch-Wiener Theorem for Heisenberg Group.

Analyse harmonique, analyse complexe et géométrie des espaces de Banach

Analyse harmonique des groupes d'automorphismes d'arbres de Bruhat-Tits

Analyse harmonique et familles sommables

Currently displaying 241 – 260 of 315