Topologies faciales dans les convexes compacts ; calcul fonctionnel et décomposition spectrale dans le centre d’un espace
Topologies on Spaces of Vector-Valued Continuous Functions. II.
Topologies on the group of invertible transformations
We enlarge the amount of embeddings of the group G of invertible transformations of [0,1] into spaces of bounded linear operators on Orlicz spaces. We show the equality of the inherited coarse topologies.
Topologies sur et
Totally ordered sets of ideals in rings of analytic functions.
Towards a two-scale calculus
We define and characterize weak and strong two-scale convergence in Lp, C0 and other spaces via a transformation of variable, extending Nguetseng's definition. We derive several properties, including weak and strong two-scale compactness; in particular we prove two-scale versions of theorems of Ascoli-Arzelà, Chacon, Riesz, and Vitali. We then approximate two-scale derivatives, and define two-scale convergence in spaces of either weakly or strongly differentiable functions. We also derive...
T-p(x)-solutions for nonlinear elliptic equations with an L¹-dual datum
We establish the existence of a T-p(x)-solution for the p(x)-elliptic problem in Ω, where Ω is a bounded open domain of , N ≥ 2 and is a Carathéodory function satisfying the natural growth condition and the coercivity condition, but with only a weak monotonicity condition. The right hand side f lies in L¹(Ω) and F belongs to .
Trace de Cauchy pour certaines founctions localement intégrables sur un ouvert borné de C.
Trace imbeddings for -sets and application to Neumann-Dirichlet problems with measures included in the boundary data
Trace inequalities for Carnot-Carathéodory spaces and applications
Trace inequalities for fractional integrals in grand Lebesgue spaces
rning the boundedness for fractional maximal and potential operators defined on quasi-metric measure spaces from to (trace inequality), where 1 < p < q < ∞, θ > 0 and μ satisfies the doubling condition in X. The results are new even for Euclidean spaces. For example, from our general results D. Adams-type necessary and sufficient conditions guaranteeing the trace inequality for fractional maximal functions and potentials defined on so-called s-sets in ℝⁿ follow. Trace inequalities...
Trace Inequalities, Maximal Inequalities, and Weighted Fourier Transform Estimates.
Trace theorem on the Heisenberg group
We prove in this work the trace and trace lifting theorem for Sobolev spaces on the Heisenberg groups for hypersurfaces with characteristics submanifolds.
Trace Theorems for Sobolev Spaces on Lipschitz Domains. Necessary Conditions
A famous theorem of E. Gagliardo gives the characterization of traces for Sobolev spaces for when is a Lipschitz domain. The extension of this result to for and is now well-known when is a smooth domain. The situation is more complicated for polygonal and polyhedral domains since the characterization is given only in terms of local compatibility conditions at the vertices, edges, .... Some recent papers give the characterization for general Lipschitz domains for m=2 in terms of global...
Trace theorems in harmonic function spaces on , multipliers theorems and related problems
Traces of a weighted Sobolev space in a singular case
Traces of anisotropic Besov-Lizorkin-Triebel spaces---a complete treatment of the borderline cases
Including the previously untreated borderline cases, the trace spaces (in the distributional sense) of the Besov-Lizorkin-Triebel spaces are determined for the anisotropic (or quasi-homogeneous) version of these classes. The ranges of the traces are in all cases shown to be approximation spaces, and these are shown to be different from the usual spaces precisely in the cases previously untreated. To analyse the new spaces, we carry over some real interpolation results as well as the refined Sobolev...
Traces of Besov spaces on fractal h-sets and dichotomy results
We study the existence of traces of Besov spaces on fractal h-sets Γ with a special focus on assumptions necessary for this existence; in other words, we present criteria for the non-existence of traces. In that sense our paper can be regarded as an extension of Bricchi (2004) and a continuation of Caetano (2013). Closely connected with the problem of existence of traces is the notion of dichotomy in function spaces: We can prove that-depending on the function space and the set Γ-there occurs an...
Traces of Besov spaces revisited.
Traces of functions of generalized Sobolev classes.