we establish a sharp maximal function estimate for some vector-valued multilinear singular integral operators. as an application, we obtain the $(l^p, l^q)$-norm inequality for vector-valued multilinear operators.

Kato [1] (see also Rellich [2]) introduced exceptional points for singularities appearing in the perturbation theory of linear operators. Afterwards exceptional points and energy level crossing have been studied for hermitian Hamilton operators [3, 4, 5, 6, 7, 8, 9, 10] and non-hermitian Hamilton operators [11, 12, 13, 14, 15, 16] by many authors. Here we consider the finite dimensional Hilbert...

In this paper level-cut measures of noncompactness are introduced in standard fuzzy normed spaces and condensing operators are studied. Using the extensions of nonlinear compact operators, topological degree theory with respect to condensing operators is given in standard fuzzy normed spaces. As an application of degree theory, a fixed point theorem for condensing operators is presented. © 2009...

In this paper we study properties of symbols such that these belong to class of symbols sitting insideSm ρ,φ that we shall introduce as the following. So for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of M−hypoelliptic pseudodifferential operators for which define base on this class of symbols. Also we consider maxi...

Factors such as emotional stress, extreme work conditions, neuropsychiatric the need to maintain an increased level of attention for a long time can lead violations, maladaptation and development operator fatigue. In course study, we revealed statistically significant differences in attentional-mnestic performance indicators groups operators with absence or presence critical It is established t...

0950-7051/$ see front matter 2008 Elsevier B.V. A doi:10.1016/j.knosys.2008.11.003 * Corresponding author. Tel.: +49 541 969 2534; fa E-mail address: [email protected] mueller). In the software development (e.g. with product lines or refactoring) transformations play an increasing role. To ease and automate these transformations, we propose a solution based on the operator hierarc...