Über den Zwischenwertsatz von Darboux und den Umkehrsatz für differenzierbare Funktion mehrerer Veränderlicher.
Über einen Satz von Khintchine. II.
Ueber die Umkehrung der Systeme von Functionen reeller Variabeln
Ueber die Vollwerthigkeit und die Stetigkeit analytischer Ausdrücke
Ueber eine Transformationsformel für Doppelintegrale.
Ueber Functionen von Vectorgrössen, welche selbst wieder Vectorgrössen sind. Eine Anwendung invariantentheoretischer Methoden auf eine Frage der mathematischen Physik
Ueber Functionen von Vectorgrößen welche selbst wieder Vectorgrößen sind; eine Anwendung invariantentheoretischer Methoden auf eine Frage der mathematischen Physik
Ueber gewisse Determinanten
Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
Une famille d’inégalités pour les ensembles convexes du plan
Nous considérons une famille de fonctions ne dépendant que de la forme d’un ensemble convexe du plan. Nous en donnons des majorations faisant intervenir le plus petit rapport des rayons des couronnes qui contiennent la frontière de ce convexe.
Uniform limits of Darboux functions on the Euclidean plane
Uniformly Continuous Set-Valued Composition Operators in the Spaces of Functions of Bounded Variation in the Sense of Riesz
We show that any uniformly continuous and convex compact valued Nemytskiĭ composition operator acting in the spaces of functions of bounded φ-variation in the sense of Riesz is generated by an affine function.
Variation of quasiconformal mappings on lines
We obtain improved regularity of homeomorphic solutions of the reduced Beltrami equation, as compared to the standard Beltrami equation. Such an improvement is not possible in terms of Hölder or Sobolev regularity; instead, our results concern the generalized variation of restrictions to lines. Specifically, we prove that the restriction to any line segment has finite p-variation for all p > 1 but not necessarily for p = 1.
Variational Problems with Non-Convex Obstacles an and Integral-Constraint for Vector-Valued Functions.
Variations of additive functions
We study the relationship between derivates and variational measures of additive functions defined on families of figures or bounded sets of finite perimeter. Our results, valid in all dimensions, include a generalization of Ward’s theorem, a necessary and sufficient condition for derivability, and full descriptive definitions of certain conditionally convergent integrals.
Visualisation of the electromagnetic vector fields
Modern computer algebra software can be used to visualize vector fields. One of the most used is the Maple program. This program is used to visualize two and three-dimensional vector fields. The possibilities of plotting direction vectors, lines of force, equipotential curves and the method of colouring the surface area for two-dimensional cases are shown step by step. For three-dimensional arrays, these methods are applied to various slices of three-dimensional space, such as a plane or a cylindrical...
Volume of an N-Simplex by multiple Integration.
Weighted bounded mean oscillation and the Hilbert transform
Weighted multidimensional inequalities for monotone functions
We discuss the characterization of the inequality (RN+ fq u)1/q C (RN+ fp v )1/p, 0<q, p <, for monotone functions and nonnegative weights and and . We prove a new multidimensional integral modular inequality for monotone functions. This inequality generalizes and unifies some recent results in one and several dimensions.
Weighted norm inequalities relating the and the area functions