Each Non-Zero Convolution Operator on the Entire Functions Admits a Continuous Linear Right Inverse.
Eberlein compacts in
Edwards' separation theorem for complex Lindenstrauss spaces with application to selection and embedding Theorems.
Effective energy integral functionals for thin films with bending moment in the Orlicz-Sobolev space setting
In this paper we deal with the energy functionals for the elastic thin film ω ⊂ ℝ² involving the bending moments. The effective energy functional is obtained by Γ-convergence and 3D-2D dimension reduction techniques. Then we prove the existence of minimizers of the film energy functional. These results are proved in the case when the energy density function has the growth prescribed by an Orlicz convex function M. Here M is assumed to be non-power-growth-type and to satisfy the conditions Δ₂ and...
Effective energy integral functionals for thin films with three dimensional bending moment in the Orlicz-Sobolev space setting
In this paper we consider an elastic thin film ω ⊂ ℝ² with the bending moment depending also on the third thickness variable. The effective energy functional defined on the Orlicz-Sobolev space over ω is described by Γ-convergence and 3D-2D dimension reduction techniques. Then we prove the existence of minimizers of the film energy functional. These results are proved in the case when the energy density function has the growth prescribed by an Orlicz convex function M. Here M is assumed to be non-power-growth-type...
Effets régularisants de semi-groupes non linéaires dans des espaces de Banach
Egoroff, σ, and convergence properties in some archimedean vector lattices
An archimedean vector lattice A might have the following properties: (1) the sigma property (σ): For each there are and a ∈ A with λₙaₙ ≤ a for each n; (2) order convergence and relative uniform convergence are equivalent, denoted (OC ⇒ RUC): if aₙ ↓ 0 then aₙ → 0 r.u. The conjunction of these two is called strongly Egoroff. We consider vector lattices of the form D(X) (all extended real continuous functions on the compact space X) showing that (σ) and (OC ⇒ RUC) are equivalent, and equivalent...
Egoroff's Theorem
The goal of this article is to prove Egoroff's Theorem [13]. However, there are not enough theorems related to sequence of measurable functions in Mizar Mathematical Library. So we proved many theorems about them. At the end of this article, we showed Egoroff's theorem.MML identifier: MESFUNC8, version: 7.8.10 4.100.1011
Eigencurves for a Steklov problem.
Eigenvalue distribution of integral operators defined by Besov-Orlicz kernels.
Eigenvalue distributions of some degenerate elliptic operators: an approach via entropy numbers.
Eigenvalues of Hille-Tamarkin operators and geometry of Banach function spaces
We investigate how the asymptotic eigenvalue behaviour of Hille-Tamarkin operators in Banach function spaces depends on the geometry of the spaces involved. It turns out that the relevant properties are cotype p and p-concavity. We prove some eigenvalue estimates for Hille-Tamarkin operators in general Banach function spaces which extend the classical results in Lebesgue spaces. We specialize our results to Lorentz, Orlicz and Zygmund spaces and give applications to Fourier analysis. We are also...
Ein Approximationssatz für holomorphe Funktionen auf nicht-kompakte Riemannschen Flächen.
Ein Banach-Stone-Satz für adaptierte Vektorverbände und Algebren.
Ein Funktionstheoretischer Beweis des Satzes von Müntz.
Ein Kriterium für die Approximierbarkeit von Funktionen aus Sobolewschen Räumen durch glatte Funktionen.
Ein nichtlinearer Interpolationssatz und seine Anwendung auf nichtlineare Wellengleichungen.
Ein Schwach-Stark-Prinzip der Dualitätstheorie lokalkonvexer Räume als Fortsetzungsmethode.
Ein starkes "Null-Zwei"-Gesetz in Lp.
Eine Bemerkung zur Division von Distributionen durch analytische Operatorfunktionen.