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In this paper we give estimations of Istratescu measure of noncompactness I(X) of a set X C lp(E1,...,En) in terms of measures I(Xj) (j=1,...,n) of projections Xj of X on Ej. Also a converse problem of finding a set X for which the measure I(X) satisfies the estimations under consideration is considered.

Remarks on the LindelÖf Hypothesis

Yuichi Kamiya (2004)

Publications de l'Institut Mathématique

Remarks on the regularity of the minimizers of certain degenerate functionals

Mariano Giaquinta, Giuseppe Modica (1986/1987)

Manuscripta mathematica

Remarks on the solvability and nonsolvability of weakly nonlinear equations

Svatopluk Fučík (1976)

Commentationes Mathematicae Universitatis Carolinae

Remarks on the spaces of differentiable multifunctions

Andrzej Kasperski (2011)

Banach Center Publications

In this paper we consider some spaces of differentiable multifunctions, in particular the generalized Orlicz-Sobolev spaces of multifunctions, we study completeness of them, and give some theorems.

Remarks on the symmetric space ... and its quatization.

Erik B. Nielsen (1993)

Mathematica Scandinavica

Remarks on the theory of elasticity

Sergio Conti, Camillo de Lellis (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In compressible Neohookean elasticity one minimizes functionals which are composed by the sum of the $L^{2}$ norm of the deformation gradient and a nonlinear function of the determinant of the gradient. Non–interpenetrability of matter is then represented by additional invertibility conditions. An existence theory which includes a precise notion of invertibility and allows for cavitation was formulated by Müller and Spector in 1995. It applies, however, only if some $L^{p}$ -norm of the gradient with $p > 2$ is controlled...

Remarks on weakly KKM maps in abstract convex spaces.

Park, Sehie (2008)

International Journal of Mathematics and Mathematical Sciences

Remarks on Yu’s ‘property A’ for discrete metric spaces and groups

Jean-Louis Tu (2001)

Bulletin de la Société Mathématique de France

Guoliang Yu has introduced a property on discrete metric spaces and groups, which is a weak form of amenability and which has important applications to the Novikov conjecture and the coarse Baum–Connes conjecture. The aim of the present paper is to prove that property in particular examples, like spaces with subexponential growth, amalgamated free products of discrete groups having property A and HNN extensions of discrete groups having property A.

Remarques sur certains sous-espaces de $B M O (ℝ^{n})$ et de $b m o (ℝ^{n})$

Gérard Bourdaud (2002)

Annales de l’institut Fourier

On décrit de diverses façons les fermetures respectives, dans l’espace $B M O (ℝ^{n})$ et dans sa version locale $b m o (ℝ^{n})$ , de l’ensemble des fonctions à support compact et de l’ensemble des fonctions $C^{\infty}$ à support compact. Certains de ces résultats sont nouveaux; d’autres, considérés comme classiques, ne semblent pas avoir fait l’objet de publication. Des contre-exemples permettent de vérifier la diversité des sous-espaces considérés.

Remarques sur la théorie des champs de bosons

Paul Krée (1974/1975)

Séminaire Paul Krée

Remarques sur le calcul symbolique dans certains espaces de Besov à valeurs vectorielles

Salah Eddine Allaoui (2009)

Annales mathématiques Blaise Pascal

Dans ce travail on s’intéresse aux opérateurs de composition $T_{f} (g) : = f \circ g$ sur certains espaces de Besov et de Lizorkin-Triebel à valeurs dans $ℝ^{m}$ . Dans le but de caractériser les fonctions qui opèrent, on établit que la condition de Lipschitz, locale ou globale suivant que l’espace $B_{p, q}^{s} (ℝ^{n}, ℝ^{m})$ ou $F_{p, q}^{s} (ℝ^{n}, ℝ^{m})$ se plonge ou non dans $L_{\infty} (ℝ^{n}, ℝ^{m})$ , est nécessaire pour $s > 0$ , et que l’appartenance locale au même espace l’est aussi pour $m \leq n$ . Nous étudions enfin la régularité de l’opérateur $T_{f}$ .

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Displaying 261 – 280 of 444

Remarks on the Fixed-Point Algebras of Product Type Actions.

Remarks on the Hardy inequality.

Remarks on the history of mathematics in Lviv up to the middle of the XXth century

Remarks on the integrability in Banach spaces

Remarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev type

Remarks on the Istratescu measure of noncompactness.