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

页码：668 / 680

页数：13

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