On the space of integral Dirichlet functions of several complex variables
On the spectral properties of translation operators in one-dimensional tubes
We study the spectral properties of some group of unitary operators in the Hilbert space of square Lebesgue integrable holomorphic functions on a one-dimensional tube (see formula (1)). Applying the Genchev transform ([2], [5]) we prove that this group has continuous simple spectrum (Theorem 4) and that the projection-valued measure for this group has a very explicit form (Theorem 5).
On the spectrum of a one-parameter strongly continous representation.
On the spectrum of C1b (E).
On the spectrum of multipliers in Bessel potential spaces
On the strict convexity of the Besicovitch-Orlicz space of almost periodic functions with Orlicz norm.
The problem of strict convexity of the Besicovitch-Orlicz space of almost periodic functions is considered here in connection with the Orlicz norm. We give necessary and sufficient conditions in terms of the function f generating the space.
On the Strict Topology in the Locally Convex Setting.
On the structure of fixed point sets of some compact maps in the Fréchet space
The aim of this note is 1. to show that some results (concerning the structure of the solution set of equations (18) and (21)) obtained by Czarnowski and Pruszko in [6] can be proved in a rather different way making use of a simle generalization of a theorem proved by Vidossich in [8]; and 2. to use a slight modification of the “main theorem” of Aronszajn from [1] applying methods analogous to the above mentioned idea of Vidossich to prove the fact that the solution set of the equation (24), (25)...
On the structure of separable spaces (1 < p < ∞)
On the Structure of the Spaces ... .
On the theory of Sobolev-type classes of functions with values in a metric space.
On the topological reflexivity of the isometry group of the suspension of B(H)
We describe the topological reflexive closure of the isometry group of the suspension of B(H).
On the topology induced by the adjoint of a semigroup of operators.
On the trace of potentials
On the trace theory for functions in Sobolev spaces with mixed -norm
On the traces of Sobolev functions on the boundary of a cusp with a Hölder singularity.
On the traces of W2,p(Ω) for a Lipschitz domain.
We extend to the case 1 < p the results obtained by Geymonat and Krasucki for p = 2 on the characterization of the traces of W2,p(Ω) for a bounded Lipschitz domain.
On the trigonometric conjugate to the general Franklin system
We investigate when the trigonometric conjugate to the periodic general Franklin system is a basis in C(𝕋). For this, we find some necessary and some sufficient conditions.
On the ultrabornological property of the vector valued bounded function space.
On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces
2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.* Supported by 04/UR/15-02.