ON A KUDRYAVTSEV TYPE FUNCTION SPACE

被引：1

作者：

Kalybay, A. A. ^{[1
]}

Keulimzhayeva, Zh. A. ^{[2
]}

Oinarov, R. ^{[2
]}

机构：

[1] KIMEP Univ, Dept Econ, 4 Abay Ave, Alma Ata 050010, Kazakhstan

[2] LN Gumilyov Eurasian Natl Univ, Dept Mech & Math, 5 Munaitpasov St, Astana 010008, Kazakhstan

来源：

EURASIAN MATHEMATICAL JOURNAL | 2019年 / 10卷 / 04期

关键词：

function space; weight function; multiweighted derivative; norm; boundary conditions; stabilization to a polynomial;

D O I：

10.32523/2077-9879-2019-10-4-34-46

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper we introduce a Kudryavtsev type space, the norm of which contains a differential operator called the multiweighted derivative. This type of spaces has been studied in details for power weights. Here we consider general weights. The main result of the paper is the proof of the existence of a generalized polynomial, to which functions of this space stabilize at a singular point, so that the coefficients of this polynomial can be considered as the characteristics of the behaviour of a function nearby this singularity.

引用

页码：34 / 46

页数：13