ПЕРЕСЕЧЕНИЕ МНОЖЕСТВА ЭКСТРЕМАЛЬНЫХ ФУНКЦИЙ ДЛЯ ДВУХ ФУНКЦИОНАЛОВ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2010, Vol 17, Issue
Abstract
В работе исследована экстремальная задача для линейного функционала в классе U' α. В частности, получен вид экстремальной функции.
Authors and Affiliations
И. С. Ефремова
ON THE SCHWARZIAN NORM OF HARMONIC MAPPINGS
We obtain estimations of the pre-Schwarzian and Schwarzian derivatives in terms of the order of family in linear and affine invariant families L of sense preserving harmonic mappings of the unit disk D. As the converse r...
GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
Recently, this author studied lightlike hypersurfaces of an indefinite Kaehler manifold endowed with a semi-symmetric non-metric connection in [7]. Further we study this subject. The object of study in this paper is gene...
INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and...
Value range of solutions to the chordal Loewner equation with restriction on the driving function
We consider a value range {g(i,T)} of solutions to the chordal Loewner equation with the restriction |λ(t)| <= c on the driving function. We use reachable set methods and the Pontryagin maximum principle.
The relative Renyi dimensions
В работе вводятся понятия относительных размерностей Реньи для покрытий, упаковок и разбиений, а так же устанавливаются некоторые связи между ними.