О НОСИТЕЛЯХ МАКСИМАЛЬНЫХ СЦЕПЛЕННЫХ СИСТЕМ
Journal Title: Проблемы анализа-Issues of Analysis - Year 2004, Vol 11, Issue
Abstract
This article is devoted to the functor of superextension. By definition, the superextansion of a compact space consist of all maximal linked systems of that space. It is well known that the support of a maximal linked system coincides with the closed union of all its elements that are minimal with respect to inclusion. In this work it is shown by way of a counterexample that the union itself is not necessarily closed.
Authors and Affiliations
Е. В. ВАКУЛОВА
THE GENERALIZED KOEBE FUNCTION
We observe that the extremal function for |a 3| within the class U' α (see Starkov [1]) has as well the property that max|A 4|>4.15, if α=2. The problem is equivalent to the global estimate for Meixner-Pollaczek polynomi...
ON SOME HARMONIC FUNCTIONS RELATED TO HOLOMORPHIC FUNCTIONS WITH A POSITIVE REAL PART
In the paper we examine some holomorphic functions and complex harmonic functions, which satisfy certain conditions of a Mocanu kind. We also consider their relations with appropriate coefficient conditions. The paper is...
THE THEOREM ON EXISTENCE OF SINGULAR SOLUTIONS TO NONLINEAR EQUATIONS
The aim of this paper is to present some applications of pregularity theory to investigations of nonlinear multivalued mappings. The main result addresses to the problem of existence of solutions to nonlinear equations i...
О НОСИТЕЛЯХ МАКСИМАЛЬНЫХ СЦЕПЛЕННЫХ СИСТЕМ
This article is devoted to the functor of superextension. By definition, the superextansion of a compact space consist of all maximal linked systems of that space. It is well known that the support of a maximal linked sy...
ТЕОРЕМА РЕГУЛЯРНОСТИ УБЫВАНИЯ В ЛИНЕЙНО-ИНВАРИАНТНЫХ СЕМЕЙСТВАХ ФУНКЦИЙ
In this paper it is proved the regularity theorem for linearly invariant families of analytic function in the unit disk and some results, connected with this theorem.