Glöckner, Helge
Published in
Annals of Global Analysis and Geometry

We show that every ‘conveniently Hölder’ homomorphism between Lie groups in the sense of convenient differential calculus is smooth (in the convenient sense). In particular, every ℓip0-homomorphism is smooth.

Babayan, A. O.
Published in
Analysis

We consider a boundary value problem in the unit disk for an elliptic equation of order N with constant coefficients. We suppose, that the characteristic equation has exactly M pairs of complex conjugate roots (0 ≤ 2M ≤ N). The solution of this problem belongs to the class of N times continuously differentiable functions, which with up to the (N − ...

Nadzhafov, A. M.
Published in
Siberian Mathematical Journal

We construct Sobolev-Morrey type spaces with dominant mixed derivatives and, using the obtained integral representation, prove some embedding theorems in these spaces.

Babenko, V. F. Pichugov, S. A.
Published in
Mathematical Notes

We prove a new sharp Kolmogorov-type inequality that estimates the uniform norm of a mixed derivative of fractional order (in the sense of Marchaud) of a function of several variables via the uniform norm of the function and its norm on Hölder spaces.

Cabuzel, Catherine

The aim of this study is the approximation of a solution x* of a ganeralized equation 0 in f(x)+F(x) in Banach spaces, where f is a single-valued function whose second order Frechet derivative satisfies an Hölder condition and F stands for a set-valed map with closed graph. Using a fixed point theorem and the Aubin property of F, we show the existe...

Cabuzel, Catherine

Ostrovska, Sofiya
Published in
Journal of Inequalities and Applications

The limit q-Bernstein operator Bq emerges naturally as a modification of the Szász-Mirakyan operator related to the Euler probability distribution. At the same time, this operator serves as the limit for a sequence of the q-Bernstein polynomials with 0

Salimov, R. B.
Published in
Russian Mathematics

We study properties of a singular integral with the Hilbert kernel at a fixed point, where the modulus of continuity of its density has logarithmic order, and the integral is not necessarily convergent.

Vetokhin, A. N.
Published in
Mathematical Notes

The properties of topological entropy as a function on a compact family of maps of a compact metric space are studied.

Bahoura, Samy Skander

We give blow-up analysis for a Brezis and Merle's problem with Dirichlet and Holderian condition. Also, we derive a compactness criterion.