Sur les notions de limite et de continuité et sur quelques propriétés générales des fonctions continues d'un nombre quelconque de variables
Sur quelques théorèmes fondamentaux de l'algèbre moderne
Sur un problème concernant les fonctions quasicontinues
Sur un théorème relatif à la continuité des fonctions
Sur une intégrale double
Sur une propriété des déterminants fonctionnels et son application au développement des fonctions implicites.
Symmetrisierung für Funktionen mehrerer reeller Variablen.
Tafeln der eindeutig umkehrbaren Functionen zweier Variabeln auf den einfachsten Zahlengebieten.
The area formula for -mappings
Let be a mapping in the Sobolev space . Then the change of variables, or area formula holds for provided removing from counting into the multiplicity function the set where is not approximately Hölder continuous. This exceptional set has Hausdorff dimension zero.
The C k Space
In this article, we formalize continuous differentiability of realvalued functions on n-dimensional real normed linear spaces. Next, we give a definition of the Ck space according to [23].
The calculus of operator functions and operator convexity [Book]
The characterization of radial subspaces of Besov and Lizorkin-Triebel spaces by differences
We continue our earlier investigations of radial subspaces of Besov and Lizorkin-Triebel spaces on . This time we study characterizations of these subspaces by differences.
The compositions of differential operations and the Gâteaux directional derivative.
The Denjoy-Clarkson property with respect to Hausdorff measures for the gradient mapping of functions of several variables
We construct a differentiable function () such that the set is a nonempty set of Hausdorff dimension . This answers a question posed by Z. Buczolich.
The Differentiable Functions from R into R n
In control engineering, differentiable partial functions from R into Rn play a very important role. In this article, we formalized basic properties of such functions.
The distance between subdifferentials in the terms of functions
For convex continuous functions defined respectively in neighborhoods of points in a normed linear space, a formula for the distance between and in terms of (i.eẇithout using the dual) is proved. Some corollaries, like a new characterization of the subdifferential of a continuous convex function at a point, are given. This, together with a theorem from [4], implies a sufficient condition for a family of continuous convex functions on a barrelled normed linear space to be locally uniformly...
The divergence theorem and Perron integration with exceptional sets
The fundamental theorem for the -integral on more general sets and a corresponding divergence theorem with singularities
The generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order
In the paper, the generalization of the Du Bois-Reymond lemma for functions of two variables to the case of partial derivatives of any order is proved. Some application of this theorem to the coercive Dirichlet problem is given.
The hardy-littlewood maximal function and derivation of integrals.