Fatou's Lemma and the Lebesgue's Convergence Theorem
In this article we prove the Fatou's Lemma and Lebesgue's Convergence Theorem [10].MML identifier: MESFUN10, version: 7.9.01 4.101.1015
Fegen und Dünnheit mit Anwendungen auf die Laplace-und Wärmeleitungsgleichung
Several properties of balayage of measures in harmonic spaces are studied. In particular, characterisations of thinness of subsets are given. For the heat equation the following result is obtained: suppose that is given the presheaf of solutions ofand is a subset of satisfyingfor arbitrarily small. Then is thin at 0 if and only if is polar. Similar result for the Laplace equation. At last the reduced of measures is defined and several approximation theorems on reducing and balayage...
Feller semigroups obtained by variable order subordination.
Fenchel-Orlicz spaces [Book]
F-espacios sobre cuerpos locales: La propiedad de extensión.
Feuilletages et algèbres d'opérateurs
FF-Banachverbandsalgebren.
Field-theoretic Weyl deformation quantization of enlarged Poisson algebras.
Filters and sequences
We consider two situations which relate properties of filters with properties of the limit operators with respect to these filters. In the first one, we show that the space of sequences having limits with respect to a filter is itself and therefore, by a result of Dobrowolski and Marciszewski, such spaces are topologically indistinguishable. This answers a question of Dobrowolski and Marciszewski. In the second one, we characterize universally measurable filters which fulfill Fatou’s lemma.
Filtre moyennant et valeurs moyennes des capacités invariantes
Fine behavior of functions whose gradients are in an Orlicz space
For functions whose derivatives belong to an Orlicz space, we develop their "fine" properties as a generalization of the treatment found in [MZ] for Sobolev functions. Of particular importance is Theorem 8.8, which is used in the development in [MSZ] of the coarea formula for such functions.
Fine topology of variable exponent energy superminimizers.
Finite codimensional linear isometries on spaces of differentiable and Lipschitz functions
We characterize finite codimensional linear isometries on two spaces, C (n)[0; 1] and Lip [0; 1], where C (n)[0; 1] is the Banach space of n-times continuously differentiable functions on [0; 1] and Lip [0; 1] is the Banach space of Lipschitz continuous functions on [0; 1]. We will see they are exactly surjective isometries. Also, we show that C (n)[0; 1] and Lip [0; 1] admit neither isometric shifts nor backward shifts.
Finite dimensional intuitionistic fuzzy normed linear space.
Finite dimensional projection constants
Finite dimensional subspaces of
Finite dimensionality in socle of Banach algebras.
Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows
A simplified stochastic Hookean dumbbells model arising from viscoelastic flows is considered, the convective terms being disregarded. A finite element discretization in space is proposed. Existence of the numerical solution is proved for small data, so as a priori error estimates, using an implicit function theorem and regularity results obtained in [Bonito et al., J. Evol. Equ.6 (2006) 381–398] for the solution of the continuous problem. A posteriori error estimates are also derived. Numerical...
Finite families of -spaces and multirectangular characteristics.
Finite generation in C*-algebras and Hilbert C*-modules
We characterize C*-algebras and C*-modules such that every maximal right ideal (resp. right submodule) is algebraically finitely generated. In particular, C*-algebras satisfy the Dales-Żelazko conjecture.