The problem of traces for sobolev spaces with Muckenhoupt-type weights

被引：9
|
作者：
Tyulenev, A. I. [1 ]
机构：
[1] Moscow Inst Phys & Technol, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2013年 / 94卷 / 5-6期
基金：
俄罗斯基础研究基金会;
关键词：
trace of a function; weighted Sobolev space W-p(l) (Q; gamma); weighted Besov-type spaces; Muckenhoupt-type weight; Holder's inequality; Minkowski's inequality; RADIAL WEIGHT;
D O I：
10.1134/S0001434613110084
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An exact description of traces of functions from the weighted Sobolev spaceW (p) (l) (Q, gamma) on the square are presented in detail. The weight function gamma a A (p) ((0, 1)) depends on one "longitudinal" coordinate x. Traces are characterized in terms of the weighted Besov-type spaces ((0, 1), gamma) constructed in the paper. The characterization of traces is also obtained in the case p = 1.
引用
收藏
页码：668 / 680
页数：13
相关论文
共 50 条
12345