Weakly Almost Periodic Functions on Hypergroups.
Weakly almost periodic representations of semigroups by Markov operators.
Weakly almost periodic vector-valued functions [Book]
Weakly amenable groups and the RNP for some Banach algebras related to the Fourier algebra
It is shown that if G is a weakly amenable unimodular group then the Banach algebra , where is the Figà-Talamanca-Herz Banach algebra of G, is a dual Banach space with the Radon-Nikodym property if 1 ≤ r ≤ max(p,p’). This does not hold if p = 2 and r > 2.
Weak-strong convolution operators on certain disconnected groups
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 convolution algebras and their homomorphisms
Weighted convolution algebras on subsemigroups of the real line [Book]
Weighted Convolution Algebras without Bounded Approximate Identities.
Weighted H... Multipliers on Locally Compact Vilenkin Groups.
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 measure algebras and uniform norms
Let ω be a weight on an LCA group G. Let M(G,ω) consist of the Radon measures μ on G such that ωμ is a regular complex Borel measure on G. It is proved that: (i) M(G,ω) is regular iff M(G,ω) has unique uniform norm property (UUNP) iff L¹(G,ω) has UUNP and G is discrete; (ii) M(G,ω) has a minimum uniform norm iff L¹(G,ω) has UUNP; (iii) M₀₀(G,ω) is regular iff M₀₀(G,ω) has UUNP iff L¹(G,ω) has UUNP, where M₀₀(G,ω) := {μ ∈ M(G,ω) : μ̂ = 0 on Δ(M(G,ω))∖Δ(L¹(G,ω))}.
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.
Weighted pseudo almost automorphic functions with applications to abstract dynamic equations on time scales
We propose a concept of weighted pseudo almost automorphic functions on almost periodic time scales and study some important properties of weighted pseudo almost automorphic functions on almost periodic time scales. As applications, we obtain the conditions for the existence of weighted pseudo almost automorphic mild solutions to a class of semilinear dynamic equations on almost periodic time scales.
Weighted pseudo almost automorphic sequences and their applications.
Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations.