Strong A∞-weights are A∞-weights on metric spaces

被引：0

作者：

Korte, Riikka ^{[1
]}

Kansanen, Outi Elina ^{[2
]}

机构：

[1] Univ Helsinki, Dept Math & Stat, FI-00014 Helsinki, Finland

[2] KTH, Dept Math, SE-10044 Stockholm, Sweden

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2011年 / 27卷 / 01期

关键词：

Metric doubling measure; metric spaces; Muckenhoupt weights; strong A(infinity)-weight; SOBOLEV; MAPPINGS; WEIGHTS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that every strong A(infinity)-weight is a Muckenhoupt weight in Ahlfors-regular metric measure spaces that support a Poincare inequality. We also explore the relations between various definitions for A(infinity)-weights in this setting, since some of these characterizations are needed in the proof of the main result.

引用

页码：335 / 354

页数：20

共 22 条

[1] Mumford-Shah-type functionals associated with doubling metric measures [J].

Baldi, A ;

Franchi, B .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2005, 135 :1-23

[2]

BJORN A, EMS TRACTS IN PRESS

[3]

Björn J, 2002, ILLINOIS J MATH, V46, P383

[4]

Bonk M, 2004, CONTEMP MATH, V355, P77

[5] Logarithmic potentials, quasiconformal flows, and Q-curvature [J].

Bonk, Mario ;

Heinonen, Juha ;

Saksman, Eero .

DUKE MATHEMATICAL JOURNAL, 2008, 142 (02) :197-239

[6]

Costea S, 2007, REV MAT IBEROAM, V23, P1067

[7]

Costea S, 2009, HOUSTON J MATH, V35, P1233

[8]

David G., 1990, Lecture Notes in Pure and Appl. Math., V122, P101

[9] Regularity for quasilinear degenerate elliptic equations [J].

Di Fazio, G. ;

Zamboni, P. .

MATHEMATISCHE ZEITSCHRIFT, 2006, 253 (04) :787-803

[10]

Di Fazio G, 2005, MATEMATICHE, V60, P513

← 1 2 3 →