On Sobolev-Poincare-Friedrichs Type Weight Inequalities

被引：0

作者：

Mamedov, F. I. ^{[1
]}

Mamedova, V. A. ^{[1
]}

机构：

[1] Natl Acad Sci, Inst Math & Mech, BVahabzade 9, AZ-1141 Baku, Azerbaijan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2022年 / 12卷 / 02期

关键词：

weights; Sobolev inequality; Friedrich inequality; Poincare inequality; embedding; trace inequality; FRACTIONAL INTEGRALS; NORM INEQUALITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove a Long-Nie type results on Sobolev-Poincare and Friedrichs inequalities (integral(Omega) vertical bar f(x)vertical bar(q)v(x)dx)(1/q) <= C(integral(Omega) vertical bar del f(x)vertical bar(p)omega dx)(1/p), q >= p > 1, where f is a locally Lipschitz function on Omega, the weights v, sigma = omega(-1/p-1) is an element of L-1,L-loc satisfy some cube conditions and Omega is a convex bounded domain in the case of Poincare's inequality. This result generalizes previously known weighted inequalities to more general class of weights.

引用

页码：92 / 108

页数：17

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