Perimeter of sets and BMO-type norms

被引：3

作者：

Ambrosio, Luigi ^{[1
]}

Bourgain, Jean ^{[2
]}

Brezis, Haim ^{[3
,4
]}

Figalli, Alessio ^{[5
]}

机构：

[1] Scuola Normale Super Pisa, I-56100 Pisa, Italy

[2] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[3] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[4] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[5] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 09期

基金：

美国国家科学基金会;

关键词：

ISOPERIMETRY;

D O I：

10.1016/j.crma.2014.07.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this note is to announce some recent results showing that an isotropic variant of the BMO-type norm introduced in [3] can be related via a precise formula to the perimeter of sets. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：697 / 698

页数：2

共 5 条

[1]

Ambrosio L., 2014, PREPRINT

[2] Some remarks on isoperimetry of Gaussian type [J].

Barthe, F ;

Maurey, B .

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2000, 36 (04) :419-434

[3]

Bourgain J., 2014, PREPRINT

[4] LATTICE-PERIODIC POINT SETS AND ISOPERIMETRY [J].

HADWIGER, H .

MONATSHEFTE FUR MATHEMATIK, 1972, 76 (05) :410-418

[5] ON FUNCTIONS OF BOUNDED MEAN OSCILLATION [J].

JOHN, F ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1961, 14 (03) :415-&

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