The construction of normal bases for the space of continuous functions on , with the aid of operators
The continuity of the rearrangement in
The converse of the Hölder inequality and its generalizations
Let (Ω,Σ,μ) be a measure space with two sets A,B ∈ Σ such that 0 < μ (A) < 1 < μ (B) < ∞ and suppose that ϕ and ψ are arbitrary bijections of [0,∞) such that ϕ(0) = ψ(0) = 0. The main result says that if for all μ-integrable nonnegative step functions x,y then ϕ and ψ must be conjugate power functions. If the measure space (Ω,Σ,μ) has one of the following properties: (a) μ (A) ≤ 1 for every A ∈ Σ of finite measure; (b) μ (A) ≥ 1 for every A ∈ Σ of positive measure, then there exist...
The coordinatewise uniformly Kadec-Klee property in some Banach spaces.
The criteria for local uniform rotundity of Orlicz spaces
The criteria of strongly exposed points in Orlicz spaces
In Orlicz spaces, the necessary and sufficient conditions of strongly exposed points are given.
The current situation in the linear problem of Molodenskii
Si prova l'esistenza di un'unica soluzione debole che dipende con continuità dai dati al contorno per il problema lineare di Molodenskii in approssimazione quasi sferica, nel caso che la superficie al contorno soddisfi una condizione di cono. Si segue un approccio costruttivo diretto, che generalizza una procedura precedentemente elaborata per il problema semplice di Molodenskii. Inoltre si prova che la soluzione ha derivate prime a quadrato integrabile al contorno, il che è essenziale per le applicazioni...
The density condition in projective tensor products.
In this paper we modify a construction due to J. Taskinen to get a Fréchet space F which satisfies the density condition such that the complete injective tensor product l2 x~eF'b does not satisfy the strong dual density condition of Bierstedt and Bonet. In this way a question that remained open in Heinrichs (1997) is solved.
The density of infinitely differentiable functions in Sobolev spaces with mixed boundary conditions
We present a detailed proof of the density of the set in the space of test functions that vanish on some part of the boundary of a bounded domain .
The density of solenoidal functions and the convergence of a dual finite element method
A proof is given of the following theorem: infinitely differentiable solenoidal vector - functions are dense in the space of functions, which are solenoidal in the distribution sense only. The theorem is utilized in proving the convergence of a dual finite element procedure for Dirichlet, Neumann and a mixed boundary value problem of a second order elliptic equation.
The diametral dimension of the spaces of Whitney jets on sequences of points.
The differences of inclusion map operators between rearrangement invariant spaces on finite and sigma-finite measure spaces.
The Dirichlet problem and weighted spaces. I.
The Dirichlet problem and weighted spaces. II.
The Dirichlet space: a survey.
The distribution of non-commutative Rademacher series.
The dual and bidual of an echelon Köthe space.
The Dual Ball of a Lindenstrauss Space.
The Dual of a Space of Vector Measures.
The dual of Besov spaces on fractals