Improved fractional Poincare type inequalities on John domains

被引：3

作者：

Cejas, Maria Eugenia ^{[1
]}

Drelichman, Irene ^{[2
]}

Martinez-Perales, Javier C. ^{[3
]}

机构：

[1] Univ Nacl La Plata, Dept Matemat, CONICET, RA-1900 La Plata, Buenos Aires, Argentina

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

[3] BCAM Basque Ctr Appl Math, Bilbao 48009, Spain

来源：

ARKIV FOR MATEMATIK | 2019年 / 57卷 / 02期

关键词：

SOBOLEV SPACES; BESOV; HARDY; SETS;

D O I：

10.4310/ARKIV.2019.v57.n2.a3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain improved fractional Poincare inequalities in John domains of a metric space (X, d) endowed with a doubling measure mu under some mild regularity conditions on the measure mu. We also give sufficient conditions on a bounded domain to support fractional Poincare type inequalities in this setting.

引用

页码：285 / 315

页数：31

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