Sobolev-Poincare-type inequality on metric spaces in terms of sharp-maximal functions

被引：0

作者：

Ignat'eva, E. V. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk 220050, BELARUS

来源：

MATHEMATICAL NOTES | 2007年 / 81卷 / 1-2期

关键词：

Sobolev-Poincare inequality; maximal function; Hausdorff space; Sobolev class; Borel measure; Lebesgue point; space of homogeneous type;

D O I：

10.1134/S0001434607010129

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：121 / 125

页数：5

共 50 条

[21] Poincare inequalities and compact embeddings from Sobolev type spaces into weighted Lq spaces on metric spaces
Bjorn, Jana
Kalamajska, Agnieszka
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 282 (11)
[22] On the rate of change of the sharp constant in the Sobolev-Poincare inequality
Carroll, Tom
Fall, Mouhamed Moustapha
Ratzkin, Jesse
MATHEMATISCHE NACHRICHTEN, 2017, 290 (14-15) : 2185 - 2197
[23] Modulus and the Poincare inequality on metric measure spaces
Keith, S
MATHEMATISCHE ZEITSCHRIFT, 2003, 245 (02) : 255 - 292
[24] Removable sets for the Poincare inequality on metric spaces
Koskela, P
Shanmugalingam, N
Tuominen, H
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2000, 49 (01) : 333 - 352
[25] Poincare's inequality and Sobolev spaces with monomial weights
Castro, Hernan
Cornejo, Marco
MATHEMATISCHE NACHRICHTEN, 2023, 296 (10) : 4500 - 4522
[26] Weighted Sobolev spaces and Poincare inequality for degenerate operators
Stasi, Roberto
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2007, 14 (01): : 69 - 80
[27] On the continuity of Sobolev-type functions on homogeneous metric spaces
Pomahob, A. C.
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2022, 19 (02): : 460 - 483
[28] A Poincaré Inequality for Orlicz–Sobolev Functions with Zero Boundary Values on Metric Spaces
Marcelina Mocanu
Complex Analysis and Operator Theory, 2011, 5 : 799 - 810
[29] A Sobolev Poincare type inequality for integral varifolds
Menne, Ulrich
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2010, 38 (3-4) : 369 - 408
[30] On boundedness of maximal functions in Sobolev spaces
Hajlasz, P
Onninen, J
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2004, 29 (01) : 167 - 176

← 1 2 3 4 5 →