IMPROVED POINCARE INEQUALITIES IN FRACTIONAL SOBOLEV SPACES

被引：16

作者：

Drelichman, Irene ^{[1
]}

Duran, Ricardo G. ^{[1
,2
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, IMAS, CONICET, RA-1428 Buenos Aires, DF, Argentina

[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2018年 / 43卷

关键词：

Sobolev inequality; Poincare inequality; fractional norms; weighted Sobolev spaces; John domains; s-John domains; cusp domains; WEIGHTED POINCARE;

D O I：

10.5186/aasfm.2018.4352

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain improved fractional Poincare and Sobolev-Poincare inequalities including powers of the distance to the boundary in bounded John, s-John, and Holder-alpha domains, and discuss their optimality.

引用

页码：885 / 903

页数：19

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